Báo cáo toán học: "On Toeplitz operators with loops " ppsx

... that (∆) there exists µ ∈ Ω such that for each x ∈ X with x /∈ T x, it holds p(y, T y) ≤ p(x, y) − µ(p(x, y)) for all y ∈ T x. 23 and for each x ∈ X with x /∈ T x, it holds p(y, T y) ≤ ϕ(p(x, y))p(x, ... map T : L → N (X) is called a directional hidden contraction with respect to p, c, η and φ ((p, c, η, φ)- DHC, for short) if for any x ∈ L with x /∈ T x, there exist y ∈ L \ {x} and z...

Ngày tải lên: 20/06/2014, 20:20

...  = 0.01. The results show that at low SNR, systems with a larger number of hops N show improved p erformance than the ones with a lower number of hops. However, the converse statement ... LCR N C (r) of the capacity of N∗Nakagami-m channels with lower values of the fading parameter m n is lower as compared to that of the channels with higher values of the fading parameter m n . Howev...

Ngày tải lên: 20/06/2014, 20:20

... 1, 9 Then the solution of (5.8) with the initial condition (5.9) is bounded, if M ϕ = sup m≤−1 ϕ(m) < ∞. (5.11) Proof. To prove that the solution of (5.8) with the initial condition (5.9) ... Corollary 5.7 to the linear convolution Volterra difference equation with infinite delay x(n + 1) = n  i=−∞ Q(n − i)x(i), n ≥ 0, (5.8) with initial condition x(n) = ϕ(n), n ≤ 0, (5.9) where Q...

Ngày tải lên: 20/06/2014, 20:20

... same BER, but with a slight increase in PSD in comparison with the conventional OFDM. It was also shown that OFDM/TDM using MMSE-FDE can be designed to achieve a higher capacity with a lower PAPR ... S-random  S = N 1 2  interleaver. Log-MAP decoding with eight iterations is carried out at the receiver. A. Bit error rate issue The BER performance with and without channel coding as...

Ngày tải lên: 20/06/2014, 21:20

... pairs with Ciric type I-contractions. J Math Anal Appl. 338, 1351–1362 (2008). doi:10.1016/j.jmaa.2007.06.008 14. Pathak, HK, Hussain, N: Common fixed points for Banach operator pairs with applications. ... and M ⊂ X a non-empty subset. Recall that an upper (resp. lower) bound for M is an element p Î X with m ≺ p (resp. p ≺ m) for each m Î M; the least- upper (resp. gre atest-lower) bou...

Ngày tải lên: 20/06/2014, 21:20

... us consider the illustrative measurement with the setup shown in Figure 1. In the left-hand panel of the figure, the transmitter emits a 1.045-GHz tone with the amplitude modulated by a ‘smooth’ ... instantaneous power in an out-of-band quadrature receiver [6] with the bandwidth of several megahertz, tuned to 1 GHz, is an impulsive pulse train with a multiple of 250 ns distance betwee...

Ngày tải lên: 20/06/2014, 21:20

... . . , N c }, i ∈ {1, 2, . . . , n}), which can be computed with combinatorics, since it is associated with a deterministic scenario with n static nodes equally spaced in [0, z]. At this point, ... section, we compare the results obtained with the analytical framework presented in Section 6 with results obtained through numerical simulations carried out with the ns-2.34 simulator [...

Ngày tải lên: 20/06/2014, 20:20

... random fixed point. 5 for y ∈ X with y = x. It is well known that the above inequality is equivalent to lim sup n→∞ x n − x < lim sup n→∞ x n − y for y ∈ X with y = x. It is well known ... formatted PDF and full text (HTML) versions will be made available soon. Random approximation with weak contraction random operators and a random fixed point theorem for nonexpansive random...

Ngày tải lên: 20/06/2014, 21:20

... Y: Metric and generalized projection operators in Banach spaces: properties and applications. In: Kartsatos AG (ed.) Theory and Applications of Nonlinear Operators of Monotonic and Accretive ... doi:10.1016/j.jmaa.2007.09.062 14. Takahashi, W, Zembayashi, K: A Strong convergence theorem for the equilibrium problem with a bifunction defined on the dual space of a Banach space. Proceeding...

Ngày tải lên: 20/06/2014, 21:20

... phenomenon on singular integrals is that the singular operators T Ω,h (with h ∈ Ᏼ γ (R + )forsome1<γ<∞) have weaker singularities than the singular operators T Ω,1 due to the presence of the strong ... maximal and singular operators for any 0 <β<1 and for some constant C>0. By the last estimate and by letting β = 1/8(μ + 1), we get the estimate in (2.4 )with = 1/8 and...

Ngày tải lên: 22/06/2014, 22:20