Results 11 to 20 of about 1,463 (129)
On the operator equations ABA = A2 and BAB = B2 on non-Archimedean Banach spaces
Let XX and YY be non-Archimedean Banach spaces over K{\mathbb{K}}, A∈B(X,Y)A\in B\left(X,Y) and B∈B(Y,X)B\in B\left(Y,X) such that ABA=A2ABA={A}^{2} and BAB=B2.BAB={B}^{2}.
Ettayb Jawad
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Spectral and Scattering Properties of Quantum Walks on Homogenous Trees of Odd Degree [PDF]
For unitary operators U0, U in Hilbert spaces H0,H and identification operator J : H0 → H, we present results on the derivation of a Mourre estimate for U starting from a Mourre estimate for U0 and on the existence and completeness of the wave operators ...
R. T. Aldecoa
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Compact perturbations of operators with property (t)
Let ℋ{\mathcal{ {\mathcal H} }} be an infinite dimensional complex Hilbert space and ℬ(ℋ){\mathcal{ {\mathcal B} }}\left({\mathcal{ {\mathcal H} }}) the algebra of all bounded linear operators on ℋ{\mathcal{ {\mathcal H} }}.
Yu Xinling, Shi Weijuan, Ji Guoxing
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On linear chaos in function spaces
We show that, in Lp(0,∞){L}_{p}\left(0,\infty ) (1 ...
Jimenez John M., Markin Marat V.
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B-Fredholm elements in primitive C*-algebras
Let A{\mathcal{A}} be a unital primitive C∗\ast -algebra. This article studies the properties of the B-Fredholm elements, the B-Weyl elements and the B-Browder elements in A{\mathcal{A}}. Particularly, this article describes the B-Fredholm element as the
Kong Yingying, Jiang Lining
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Simple study designs in ecology produce inaccurate estimates of biodiversity responses
We suggest that more investment in more robust designs is needed in ecology since inferences from simpler designs, even with large sample sizes may be misleading. Facilitating this requires longer‐term funding and stronger research–practice partnerships. We also propose ‘accuracy weights’ and demonstrate how they can weight studies in three recent meta‐
Alec P. Christie+6 more
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Study of the property (bz) using local spectral theory methods
For a bounded linear operator, by local spectral theory methods, we study the property [Formula: see text] which means that the difference of the approximate point spectrum with the upper semi-Fredholm spectrum coincides with the set of all finite-range ...
Elvis Aponte, Jose Soto, Ennis Rosas
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Gap localization of TE‐modes by arbitrarily weak defects
Abstract This paper considers the propagation of TE‐modes in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a periodic background medium. Both the periodic background problem and the perturbed problem are modelled by a divergence type equation.
B. M. Brown+4 more
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On the quasi-Fredholm and Saphar spectrum of strongly continuous Cosine operator function
Let (C(t))t∈ be a strongly continuous cosine family and A be its infinitesimal generator. In this work, we prove that, if C(t) – coshλt is Saphar (resp. quasi-Fredholm) operator and λt /∉iπ, then A – λ2 is also Saphar (resp.
Boua Hamid
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(A,m)-Symmetric commuting tuples of operators on a Hilbert space
Let T = (T1, · · · ,Td) and A be a commuting d -tuple of operators and a positive operator on a complex Hilbert space, respectively. We introduce an (A,m) -symmetric commuting tuple of operators and characterize the joint approximate point spectrum of (A,
M. Chō, S. Mahmoud
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