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pro vyhledávání: '"Zlatanović, Snežana"'
The purpose of this paper is to explore additional properties of left Drazin invertible, essentially left Drazin invertible, right Drazin invertible, and essentially right Drazin invertible operators on Banach spaces, building upon the groundwork lai
Externí odkaz:
http://arxiv.org/abs/2403.17981
One-sided generalized Drazin-Riesz and one-sided generalized Drazin-meromorphic invertible operators
The aim of this paper is to introduce and study left and right versions of the class of generalized Drazin-Riesz invertible operators, as well as left and right versions of the class of generalized Drazin-meromorphic invertible operators.
Externí odkaz:
http://arxiv.org/abs/2403.12655
Let $T$ be a bounded linear operator on a Banach space $X$. We give new necessary and sufficient conditions for $T$ to be Drazin or Koliha-Drazin invertible. All those conditions have the following form: $T$ possesses certain decomposition property a
Externí odkaz:
http://arxiv.org/abs/1912.00435
A bounded linear operator $T$ on a Banach space $X$ is said to be generalized Drazin-meromorphic invertible if there exists a bounded linear operator $S$ acting on $X$ such that $TS=ST$, $STS=S$, $ TST-T$ is meromorphic. We shall say that $T$ admits
Externí odkaz:
http://arxiv.org/abs/1904.04757
In this paper we study operators originated from semi-B-Fredholm theory and as a consequence we get some results regarding boundaries and connected hulls of the corresponding spectra. In particular, we prove that a bounded linear operator $T$ acting
Externí odkaz:
http://arxiv.org/abs/1806.03414
We define here a pseudo B-Fredholm operator as an operator such that 0 is isolated in its essential spectrum, then we prove that an operator $T$ is pseudo- B-Fredholm if and only if $T = R + F$ where $R$ is a Riesz operator and $F$ is a B-Fredholm op
Externí odkaz:
http://arxiv.org/abs/1805.08741
Autor:
Gorjanović, Stanislava, Zlatanović, Snežana, Laličić-Petronijević, Jovanka, Dodevska, Margarita, Micić, Darko, Stevanović, Milica, Pastor, Ferenc
Publikováno v:
NPJ Science of Food; 10/25/2024, Vol. 8 Issue 1, p1-11, 11p
We shall say that a bounded linear operator $T$ acting on a Banach space $X$ admits a generalized Kato-Riesz decomposition if there exists a pair of $T$-invariant closed subspaces $(M,N)$ such that $X=M\oplus N$, the reduction $T_M$ is Kato and $T_N$
Externí odkaz:
http://arxiv.org/abs/1605.02895
Let ${\bf R}$ denote any of the following classes: upper (lower) semi-Fredholm operators, Fredholm operators, upper (lower) semi-Weyl operators, Weyl operators, upper (lower) semi-Browder operators, Browder operators. For a bounded linear operator $T
Externí odkaz:
http://arxiv.org/abs/1603.07880
Given a (not necessarily continuous) homomorphism between Banach algebras $\T\colon\A\to\B$, an element $a\in\A$ will be said to be B-Fredholm (respectively generalized B-Fredholm) relative to $\T$, if $\T(a)\in \B$ is Drazin invertible (respectively
Externí odkaz:
http://arxiv.org/abs/1504.02952