topics in weak topologies on banach spaces

... the linear hull—or span—of M, that is, the intersection of all linear subspaces of X containing M Equivalently, span(M) is the smallest (in the sense of inclusion) linear subspace of X containing ... Basic Concepts in Banach Spaces In this chapter we introduce basic notions and concepts in Banach space theory As a rule we will work with real scalars, only in a few instances, e.g., in spectral ... additional properties is one of the main tools in the investigation of the structural properties of Banach spaces In Chapter we continue the study of the structure of Banach spaces by adding results...

Ngày tải lên: 06/04/2015, 23:36

... converges weakly to T The following proposition shows that the convergence on compact sets implies the weak convergence Proposition 3.10 Let {Tn }∞ be a sequence of probability capacities in ... to be weakly n=1 ˜ convergent to the capacity T ∈ C if and only if f dTn → f dT for every + f ∈ C0 (Rd ) In comparison with the notion of the weak topology, we have the following proposition Proposition ... Proposition 3.9 The convergence in the weak topology and the weak convergence are equivalent ˜ Proof Let Tn be a sequence of probability capacities in Rd and T ∈ C Assume that Tn is weakly convergent...

Ngày tải lên: 06/08/2014, 05:20

... example for the regulation of protein interaction is NADH-cytochrome b5 reductase, where myristoylation interferes with binding of the signal recognition particle, resulting in a part of NADH-cytochrome ... Myristoylation can also in uence the movement and final destination of a signaling protein within the cell We observed that myristoylation of JSP1 determined its localization to distinct sites in the cytoplasm ... GelCodeÒ blue stain reagent expression construct started floating off the dish 24 h post-transfection In contrast, cells expressing JSP1G2A, or the inactive mutant JSP1-CS, remained attached to...

Ngày tải lên: 16/02/2014, 14:20

... function in several integral membrane proteins [15–20] This approach has proved to be very successful in providing qualitative structural information and in guiding complete structure determination ... States-timeproportional phase incrementation in F1 dimension Spectral data were processed on a computer using standard Bruker software (XWINNMR Version 3.1) Data were zero-filled to 2048 points in F1 dimension ... sine-bell squared window function in both dimensions Base line correction was also carried out Structure calculations Distance constraints were obtained from NOESY spectra recorded with a mixing...

Ngày tải lên: 16/03/2014, 16:20

... in the case of one-dimensional heat conduction across a finite region ≤x≤l, nine possible combinations of the boundary conditions given by Equation 5b can be found [5] One of these combinations ... heat conduction Mathematical formulation and solutions The general solution of Equation in a three-dimensional closed region of finite volume V and boundary surface ∂V is going to be obtained in ... equations, as Equation 3a [23] In many common situations the initial history function T0 (x, t) may be considered as a constant According to the method of separation of variables, a solution of...

Ngày tải lên: 21/06/2014, 04:20

... Functions of Real Variable, Nauka, Moscow, 1978 V G Zvyagin, On the Theory of Generalized Condensing Perturbations of Continuous Mappings, Lecture Notes in Mathematics, vol 1108, Springer, London, ... the rather long proofs) are given in Section In Section 4, the main results are formulated, in Sections 5–7 the proofs of the main results are carried out We will denote constants in inequalities ... the case of a non ˜ cylindrical Q and for functions coinciding with v on Γ The proofs are similar to ones resulted in [10] with minor alterations Inequality (2.5) is required to us in what follows...

Ngày tải lên: 23/06/2014, 00:20

... seeds surface disinfected, some plants were contaminated with indigenous rhizobia The main explanation of this contamination was that the irrigation water possibly contained N2-fixing bacteria Root ... nodules on roots of co-inoculated plants through contamination We cannot explain the absence of nodules on these treatments Usually, the rhizobial contaminations coming from the irrigation are ... collected in a monospecific forest plantation of A holosericea in southern Senegal during the rainy season This fungal isolate, probably introduced from Australia (Martin, personal communication),...

Ngày tải lên: 08/08/2014, 14:20

... white colonies on ampicillin plates containing X-gal and IPTG Plasmid DNA purification of four clones (two with insert obtained with primers A and B, and the other two with insert obtained with ... organizer regions and in situ hybridization, 5S rDNA can only be detected by in situ hybridization This could explain the fact that, in general, there is less information available on the chromosomal ... hundred base pairs (bp), consisting of a coding region and a nontranscribed spacer region !14! Accumulated data demonstrate that, while the coding region is highly conserved among taxa, both with respect...

Ngày tải lên: 09/08/2014, 18:21

... contraindicated Investigation Given the lack of response, risk of amputation, and general deterioration in this patient’s condition, bosentan was initiated on a compassionate use basis, with informed ... bosentan in our patient These findings are consistent with current knowledge on the role of endothelin in vascular complications of diabetes and support continued investigation of endothelin in the ... have read and approved the final manuscript Competing interests We confirm that we have no financial or non-financial competing interests We have not received funding in the form of a grant or...

Ngày tải lên: 11/08/2014, 00:23

... basic reaction schemes defined in terms of mass action law and Hill saturation kinetics Accordingly, information processing in our model network takes place only through the kinetic coupling of multiple, ... modeling framework is grounded on ordinary differential equations incorporating first and second order reactions for representing intracellular signaling fluxes, as well as Hill-like saturation kinetics ... cell cultures during the time window of 120 minutes We performed non-linear interpolation in order to infer the relative expression levels of each gene every minute during the time window This strategy...

Ngày tải lên: 13/08/2014, 16:20

... (487 versus 79 data points) and includes a fairly random collection of insertions in metabolic genes, while the smaller dataset only contains data about the enzymes used in the central metabolism ... networks, and we show that an increase in S is correlated to an inviable phenotype A significant increase in S upon mutation suggests increased metabolic costs, leading to reduction of the growth rate ... specificity, indicating that it was not as good at predicting inviable strains (Figure 5) The success of synthetic accessibility on the combined dataset demonstrates reveals three important results, making...

Ngày tải lên: 14/08/2014, 16:20

... a contradiction, so ϕ must have its fixed point in BN Now, we show the singleness of the fixed point of ϕ By contradiction, suppose ϕ has more than one fixed point, then the fixed point set is an ... (a) and a is the only fixed point of ϕ As we will see in the next theorem, compactness of Cψ,ϕ on some H (β,BN ) for some weight functions ψ implies that ϕ has only one fixed point in the unit ball ... } converges uniformly to e1 on V Z.-H Zhou and C Yuan Considering a point ξ on the unit sphere, then ϕ(ξ) is either in W or V If ϕ(ξ) is in V , then there is an N0 that does not depend on ξ...

Ngày tải lên: 22/06/2014, 06:20

... a contradiction, so ϕ must have its fixed point in BN Now, we show the singleness of the fixed point of ϕ By contradiction, suppose ϕ has more than one fixed point, then the fixed point set is an ... (a) and a is the only fixed point of ϕ As we will see in the next theorem, compactness of Cψ,ϕ on some H (β,BN ) for some weight functions ψ implies that ϕ has only one fixed point in the unit ball ... } converges uniformly to e1 on V Z.-H Zhou and C Yuan Considering a point ξ on the unit sphere, then ϕ(ξ) is either in W or V If ϕ(ξ) is in V , then there is an N0 that does not depend on ξ...

Ngày tải lên: 22/06/2014, 06:20

... admission, night admission), clinical (admission diagnosis, admission Acute Physiology and Chronic Health Evaluation (APACHE) II score, admission Therapeutic Intervention Scoring System (TISS) score) ... cardiopulmonary resuscitation, IQR = interquartile range, TISS = Therapeutic Intervention Scoring System Page of (page number not for citation purposes) Available online http://ccforum.com/content/12/6/R162 ... patient consent Data sources Demographic, hospital and clinical data were obtained using the regional ICU patient data warehouse Data sources include an electronic patient information system...

Ngày tải lên: 25/10/2012, 10:31

... is the largest temple in the world d False  The Khmer King chose Phnom Penh as the new capital III Multiple Choice: Choose A, B, C, or D a)The only surviving wonder on Antipater’s list is ... Egypt The Great Wall of China China The Taj Mahal India The Angkor Wat Cambodia The seven wonders of the world The Great Pyramid of Egypt The Hanging Garden of Babylon The Statue of Zeus at Olympia ... Wat…………… A was a small temple B is one of the seven wonders of the world C is a pyramid D was part of a royal Khmer city a long time ago d) In the 1400s, the Khmer King………………… A built Angkor Wat B...

Ngày tải lên: 15/06/2013, 01:26

... skyscraper in Mahattan, New York City h It’s the highest building in the world, located in Malaysia i It is a bell striking the hours in the clock tower of the Houses of Parliament in London j It’s in ... places using Yes/No-questions No Questions Is Phong Nha Cave in Southern Viet Nam? Is Petronas Twin Towers the tallest building in the world? Does Big Ben give GMT? …… Name Yes Ha Phuong … No ... highest building in the world, located in Malaysia Petronas Twin Towers g It is a skycraper in Mahattan, New York City Empire State Building Work in pairs to ask and answer 10 questions about these...

Ngày tải lên: 21/06/2013, 01:25

... getting darker to continue ( to continue / continue / to continuing / continuing ) I asked Nga .I could borrow her book! ( and / whether / or / but ) whether were performed Christmas songs ... go going goes (2) to jog jog jogging jogs (3) to go go going goes (4) to gather gather gathering gathers (5) to rain rain raining rains (6) (7) (8) to reach to continue to get reach continue ... continue get reaching continuing getting reaches continues gets Period 90: Unit 14: WONDERS OF THE WORLD Lesson 6: Language Focus Read the passage again, then answer the questions below What did...

Ngày tải lên: 22/06/2013, 01:26

... Unit 14 WONDERS OF THE WORLD (Lesson 1) WARM UP: Look at the pictures of famous places in Viet Nam and answer WHAT IS IT? WHERE IS IT? In Fansipan moutain Quang Binh Cai and Ha In In QuangLong Bay ... Binh Cai and Ha In In QuangLong Bay Lao Binh province Phong Nha Cave provinceLai Chau Saturday, March 29th 2008 Unit 14 WONDERS OF THE WORLD (Lesson 1) GETTING STARTED WE ARE PROUD OF OUR COUNTRY- ... Viet Nam/ The USA - Ho Chi Minh city/ Quang Binh/ Ha Noi - Ben Thanh market/ Phong Nha cave/ Ho Guom lake Saturday, March 29th 2008 Unit 14 WONDERS OF THE WORLD (Lesson 1) Home work - play “language...

Ngày tải lên: 22/06/2013, 01:27

... Discuss the question: Which of the - Discuss in pair wonders of the world you prefer and why? V Consolidations - Get Ss to fill in the chart with the right information found in the reading - Do as ... any questions they know ( not in order) II.While you read Task1 Correct Ss’ answers on the board - Have Ss read the passage individually and check the information given for the questions - Give ... the main points of the lesson - Take notes, Self – evaluation: …………………………………………………………………………………… ……………………………………………………………………………………………………… A a/ The purpose of the Great Pyramid b/ The construction...

Ngày tải lên: 23/06/2013, 01:25

... teacher Whilereading 20 minutes Postreading minutes Homework minutes * Activity 1: Gap-fill - Ask Ss to read the text and task in pairs - Instruction: The words in the box all appear in passage Fill ... fact and the second describes opinion * Activity 1: Distinguish facts and opinion - Ask Ss to work in pairs to read the statements and decide if each one describes fact or opinion - Walk round ... Ss Post -speaking 10 minutes Homework minutes - Ask Ss to work in pairs and tell their partner about some facts and opinions of the Great Pyramid of Giza, using the information in Task Example:...

Ngày tải lên: 23/06/2013, 01:27