Results 1 to 10 of about 554 (59)

Multivariable sub-Hardy Hilbert spaces invariant under the action of n-tuple of finite Blaschke factors [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2021
This paper deals with representing in concrete fashion those Hilbert spaces that are vector subspaces of the Hardy spacesH(D) (1 ≤ p ≤ ∞) that remain invariant under the action of coordinate wise multiplication by an n-tuple (TB1 , . . .
S. Lata, Sushant Pokhriyal, Dinesh Singh
semanticscholar   +1 more source

Analytic extension of n-normal operators

open access: yesOperators and Matrices, 2021
Normal operators and n -normal operators played a pivotal role in the development of operator theory. In order to generalize these classes of operators, we introduce new classes of operators which we call analytic extension of n normal operator and F ...
S. Mécheri
semanticscholar   +1 more source

The transfer ideal under the action of orthogonal group in modular case

open access: yesOpen Mathematics, 2022
In this paper, we study the structures of the invariant subspaces under the action of orthogonal group O2ν(Fq,S){O}_{2\nu }\left({F}_{q},S). In particular, we give a detailed description of 2-codimensional invariant subspaces.
Lingli Zeng
doaj   +1 more source

A note on the structure of normal Hamiltonian matrices

open access: yesOperators and Matrices, 2021
The structures of the blocks of a normal Hamiltonian matrix are studied. In this note it is obtained that all four blocks of a normal Hamiltonian matrix H = [ A B C −A∗ ] can be expressed as linear combinations of four other matrices. Mathematics subject
C. Chorianopoulos
semanticscholar   +1 more source

Linear isomorphic spaces of fractional-order difference operators

open access: yesAlexandria Engineering Journal, 2021
In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces.
S.A. Mohiuddine   +3 more
doaj   +1 more source

Applications of fixed point theorems in the theory of invariant subspaces [PDF]

open access: yesFixed Point Theory and Applications, 2012
We survey several applications of fixed point theorems in the theory of invariant subspaces. The general idea is that a fixed point theorem applied to a suitable map yields the existence of invariant subspaces for an operator on a Banach space.MSC:47A15,
Rafa Esṕınola, M. Lacruz
semanticscholar   +3 more sources

Almost convergence and generalized weighted mean II

open access: yesJournal of Inequalities and Applications, 2014
In this paper, we investigate some new sequence spaces, which naturally emerge from the concepts of almost convergence and generalized weighted mean.
M. Kirişci
semanticscholar   +2 more sources

On the class of n-power D-m-quasi-normal operators on Hilbert spaces

open access: yes, 2020
As a continuation of our previous work [22], this paper is devoted to the study for further properties of the class of (n,m) -power D -normal operators( [(n,m)DN] ) and introduce some classes of operators on Hilbert space called D -m -quasi-normal ...
Beinane Sid Ahmed, S. Mahmoud
semanticscholar   +1 more source

The invariant subspaces of S ⊕ S*

open access: yesConcrete Operators, 2020
Using the tools of Sz.-Nagy–Foias theory of contractions, we describe in detail the invariant subspaces of the operator S ⊕ S*, where S is the unilateral shift on a Hilbert space. This answers a question of Câmara and Ross.
Timotin Dan
doaj   +1 more source

On the classes of (n,m)-power D-normal and (n,m)-power D-quasi-normal operators

open access: yesOperators and Matrices, 2019
This paper is devoted to the study of some new classes of operators on Hilbert space called (n,m) -power D -normal ( [(n,m)DN] ) and (n,m) -power D -quasi-normal ( [(n,m)DQN] ) , associated with a Drazin invertible operator using its Drazin inverse. Some
S. Mahmoud, O. Ahmed
semanticscholar   +1 more source

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