cq algebras of operators on scales of hilbert spaces

... using the continuity of δH , we conclude that 1 − δH ε0 R0 This contradiction proves the continuity of mapping A < 2.20 Fixed Point Theory and Applications The Methods of Hilbert Spaces Let M, ... a direct consequence of parallelogram identity Now we prove some version of Sedłak and Wi´ nicki’s result 6, Lemma 2.1 Let C ¸ s be a nonempty bounded closed convex subset of a real Hilbert space ... Theorem 4.1 Lemma 2.2 Let H be a Hilbert space and let C be a nonempty bounded closed convex subset of H Then the mapping A : C → C is continuous Proof On the contrary, suppose that there exists...

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... method in a separate section, namely Section In Section we treat Peetre-like theorems for local operators on spaces of Whitney functions and on spaces of G-invariant functions These results will ... computation of the Hochschild cohomology of Whitney functions, but may be of interest on their own Section is dedicated to the computation of the Hochschild homology of E ∞ (X) Using localization methods ... assumption on T and Proposition 7.6 Since F is closed, the closure ΨΛ,i is the graph of a subanalytic function Moreover, given a face Λ of Λ, the restriction of ΨΛ,i to Λ equals one of the functions...

Ngày tải lên: 22/03/2014, 20:21

... whether the whole or part of the material is concerned, specif ically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microf ilm or in any other ... banks Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must ... applications to theories of perturbation, Volterra operators, Hankel operators and so on (see §2.5 for more information including references), and one of central problems here (besides the justification...

Ngày tải lên: 31/03/2014, 15:21

... discussion of the Kœnigs function in relation to compact composition operators on the Hardy spaces If we let = σ (D) be the Kœnigs domain of , then (2) may be interpreted as implying that the action ... compact on B if and only if Page of Jones Journal of Inequalities and Applications 2011, 2011:31 http://www.journalofinequalitiesandapplications.com/content/2011/1/31 lim w→∂ δ (w) = δ (γ w) Page of ... Cite this article as: Jones: A note on the Königs domain of compact composition operators on the Bloch space Journal of Inequalities and Applications 2011 2011:31 Page of ...

Ngày tải lên: 21/06/2014, 01:20

... This is the purpose of this article The results We consider an operator T acting on real measurable functions f of one real variable and define a sequence {Tn}nÎℤ of local operators by Tn f (x) ... of Inequalities and Applications 2011, 2011:13 http://www.journalofinequalitiesandapplications.com/content/2011/1/13 Page of 12 We will say that an operator T verifying all the above conditions ... Boundedness of positive operators on weighted amalgams Journal of Inequalities and Applications 2011 2011:13 Submit your manuscript to a journal and benefit from: Convenient online submission Rigorous...

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... integral operators on Morrey spaces with general growth functions,” Surikaisekikenkyusho K¯ kyuroku, no 1102, pp 49–63, 1999, Proceedings of the Coference on o ¯ ¯ ¯ Harmonic Analysis and Nonlinear ... parameterized Littlewood-Paley operators are neither the convolution operator nor the linear operators, hence, we need new ideas and nontrivial estimates in the proof Proof of Theorem 1.2 Let us begin ... The purpose of this paper is to give a characterization of BMO space by the boundedness of the commutators of μΩ , μS , and μ∗, on the generalized Morrey space λ Lp,ϕ Rn and bB Definition 1.1 Let...

Ngày tải lên: 21/06/2014, 07:20

... Composition Operators on Spaces of Analytic Functions, Studies in Advanced Mathematics, CRC Press, Boca Raton, Fla, USA, 1995 [2] G Gunatillake, “Spectrum of a compact weighted composition operator,” ... Proceedings of the American Mathematical Society, vol 135, no 2, pp 461–467, 2007 [3] R Aron and M Lindstr¨ m, “Spectra of weighted composition operators on weighted banach o spaces of analytic functions,” ... possible products of ϕ (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...

Ngày tải lên: 22/06/2014, 06:20

... Composition Operators on Spaces of Analytic Functions, Studies in Advanced Mathematics, CRC Press, Boca Raton, Fla, USA, 1995 [2] G Gunatillake, “Spectrum of a compact weighted composition operator,” ... Proceedings of the American Mathematical Society, vol 135, no 2, pp 461–467, 2007 [3] R Aron and M Lindstr¨ m, “Spectra of weighted composition operators on weighted banach o spaces of analytic functions,” ... possible products of ϕ (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...

Ngày tải lên: 22/06/2014, 06:20

... Journal on Control and Optimization, vol 14, no 5, pp 877–898, 1976 O Guler, On the convergence of the proximal point algorithm for convex minimization,” SIAM Journal ¨ on Control and Optimization, ... for nonlinear operators, ” Journal of the London Mathematical Society, vol 66, no 1, pp 240–256, 2002 R E Bruck Jr., “A strongly convergent iterative solution of ∈ Ux for a maximal monotone operator ... {xn } converges strongly to the minimizer of f nearest to u Proof Since f : H → −∞, ∞ is a proper convex lower semicontinuous function, by , the subdifferential ∂f of f is a maximal monotone operator...

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... Journal on Control and Optimization, vol 14, no 5, pp 877–898, 1976 O Guler, On the convergence of the proximal point algorithm for convex minimization,” SIAM Journal ¨ on Control and Optimization, ... for nonlinear operators, ” Journal of the London Mathematical Society, vol 66, no 1, pp 240–256, 2002 R E Bruck Jr., “A strongly convergent iterative solution of ∈ Ux for a maximal monotone operator ... {xn } converges strongly to the minimizer of f nearest to u Proof Since f : H → −∞, ∞ is a proper convex lower semicontinuous function, by , the subdifferential ∂f of f is a maximal monotone operator...

Ngày tải lên: 22/06/2014, 18:20

... that Definitions 2.2 and 2.3 are the particular examples of Definition 2.1 Note that when m = 0, T A is just the commutator of Ft and A, while when m > 0, it is nontrivial generalizations of the commutators ... that multilinear operators are of great interest in harmonic analysis and have been widely studied by many authors (see [2–5, 7]) The main purpose of this paper is to study the continuity for the ... multilinear operators on the Triebel-Lizorkin spaces We will prove the following theorems in Section A Theorem 2.4 Let gδ be the multilinear Littlewood-Paley operator as in Definition 2.2 If ˙...

Ngày tải lên: 22/06/2014, 22:20

... growth condition on μ is indispensable However, in [9], the theory of fractional integral operators without the growth condition was developed The construction of the fractional integral operators ... of T r on the limit function space ᏹβr (μ)? Here we describe the organization of this paper Section is devoted to the definition of the function spaces to answer Problems 1.4 and 1.5 In Section ... regard them as a family of function spaces parameterized only by p We turn our attention to the family of spaces p {ᏹβp (μ)} p∈(0,∞) We also consider the generalized version of Problem 1.4 Problem...

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... we consider the convex minimization problem of finding a minimizer of a proper lower-semicontinuous convex function and the variational problem of finding a solution of a variational inequality ... minimization,” SIAM u Journal on Control and Optimization, vol 29, no 2, pp 403–419, 1991 [5] G B Passty, “Ergodic convergence to a zero of the sum of monotone operators in Hilbert space,” Journal of ... “Approximating solutions of maximal monotone operators in Hilbert spaces, ” Journal of Approximation Theory, vol 106, no 2, pp 226–240, 2000 [8] T Suzuki, “Strong convergence of Krasnoselskii and...

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