Results 11 to 20 of about 1,463 (129)

On the operator equations ABA = A2 and BAB = B2 on non-Archimedean Banach spaces

open access: yesTopological Algebra and its Applications, 2023
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
doaj   +1 more source

Spectral and Scattering Properties of Quantum Walks on Homogenous Trees of Odd Degree [PDF]

open access: yes, 2020
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
semanticscholar   +1 more source

Compact perturbations of operators with property (t)

open access: yesOpen Mathematics, 2021
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
doaj   +1 more source

On linear chaos in function spaces

open access: yesDemonstratio Mathematica, 2022
We show that, in Lp(0,∞){L}_{p}\left(0,\infty ) (1 ...
Jimenez John M., Markin Marat V.
doaj   +1 more source

B-Fredholm elements in primitive C*-algebras

open access: yesOpen Mathematics, 2022
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
doaj   +1 more source

Simple study designs in ecology produce inaccurate estimates of biodiversity responses

open access: yesJournal of Applied Ecology, Volume 56, Issue 12, Page 2742-2754, December 2019., 2019
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
wiley   +1 more source

Study of the property (bz) using local spectral theory methods

open access: yesArab Journal of Basic and Applied Sciences, 2023
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
doaj   +1 more source

Gap localization of TE‐modes by arbitrarily weak defects

open access: yesJournal of the London Mathematical Society, Volume 95, Issue 3, Page 942-962, June 2017., 2017
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
wiley   +1 more source

On the quasi-Fredholm and Saphar spectrum of strongly continuous Cosine operator function

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
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
doaj   +1 more source

(A,m)-Symmetric commuting tuples of operators on a Hilbert space

open access: yesMathematical Inequalities & Applications, 2019
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
semanticscholar   +1 more source

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