Results 1 to 10 of about 1,463 (129)

Preservers of condition spectra and pseudo spectra of Hermitian matrix Jordan products

open access: yesOperators and Matrices, 2023
. Let H n be the real space of n × n complex Hermitian matrices. Complete descriptions are given of the maps of H n leaving invariant the pseudo spectral radius or the condition spectral radius of Jordan product of matrices.
M. Bendaoud, A. Benyouness, A. Cade
semanticscholar   +1 more source

Characterizations of Hopfians spaces

open access: yesOperators and Matrices, 2023
. A Banach space X is called Hop fi an, if any bounded linear operator surjective is bijective. The existence of the Banach Hop fi ans spaces in in fi nite dimension was established by Gowers and Maury in 1993.
H. Boua, A. Tajmouati
semanticscholar   +1 more source

M-hypercyclicity of C0-semigroup and Svep of its generator

open access: yesConcrete Operators, 2021
Let 𝒯 = (Tt)t≥0 be a C0-semigroup on a separable infinite dimensional Banach space X, with generator A. In this paper, we study the relationship between the single valued extension property of generator A, and the M-hypercyclicity of the C0-semigroup ...
Toukmati A.
doaj   +1 more source

Limit points for descent spectrum of operator matrices

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
In this paper, we investigate the limit points set of descent spectrum of upper triangular operator matrices MC=(AC0B){M_C} = \left( {\matrix{A \hfill & C \hfill \cr 0 \hfill & B \hfill \cr } } \right).
Boua H., Karmouni M., Tajmouati A.
doaj   +1 more source

Scattering properties of Sturm-Liouville equations with sign-alternating weight and transmission condition at turning point

open access: yesOpen Mathematics, 2023
In this article, we focus on the scattering analysis of Sturm-Liouville type singular operator including an impulsive condition and turning point. In the classical literature, there are plenty of papers considering the positive values of the weight ...
Çoşkun Nimet, Görgülü Merve
doaj   +1 more source

On the compactness and spectra of the generalized difference operator on the spaces ℓ^∞ and bv

open access: yesOperators and Matrices, 2021
In this paper, we consider the compactness and the spectrum of the generalized difference operator Δab on the Banach sequence spaces ∞ , of bounded sequences, and bv , of bounded variation sequences, which allows us to generalize and extend some existing
S. El-Shabrawy, Y. Sawano
semanticscholar   +1 more source

Jacobson’s Lemma in the ring of quaternionic linear operators

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
In the present paper, we study the Jacobson’s Lemma in the unital ring of all bounded right linear operators ℬR(X) acting on a two-sided quaternionic Banach space X. In particular, let A, B ∈ ℬR(X) and let q ∈ ℍ \ {0}, we prove that w(AB) \ {0} = w(BA) \
Benabdi El Hassan, Barraa Mohamed
doaj   +1 more source

Closedness of ranges of unbounded upper triangular operator matrices

open access: yesOperators and Matrices, 2021
This paper deals with the closed range property of operator matrices. The necessary and sufficient condition is given for an unbounded upper triangular partial operator matrix to have a closed range completion.
Y. Qi, J. Huang, Alatancang Chen
semanticscholar   +1 more source

Spectrum and Analytic Functional Calculus for Clifford Operators via Stem Functions

open access: yesConcrete Operators, 2021
The main purpose of this work is the construction of an analytic functional calculus for Clifford operators, which are operators acting on certain modules over Clifford algebras.
Vasilescu Florian-Horia
doaj   +1 more source

Properties of J-self-adjoint operators

open access: yesOperators and Matrices, 2021
In this paper, we consider operators T ∈ L (H ) such that (JT )∗ = JT for some anti-unitary J with J2 = −I ; in this case, we say that T is J -self-adjoint. We show that the Aluthge transform of a J -self-adjoint operator is skew-complex symmetric. As an
Sungeun Jung
semanticscholar   +1 more source

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