Search Results - "Zlatanović, Snežana Č. Živković"
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Generalized Drazin invertible elements relative to a regularity
Published in Linear & multilinear algebra (12-06-2024)“…This paper is an attempt to give an axiomatic approach to the investigation of various kinds of generalizations of Drazin invertibility in Banach algebras. We…”
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2
Topological Uniform Descent, Quasi-Fredholmness and Operators Originated from Semi-B-Fredholm Theory
Published in Complex analysis and operator theory (01-11-2019)“…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…”
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3
A Note on Koliha-Drazin Invertible Operators and a-Browder’s Theorem
Published in Complex analysis and operator theory (01-07-2021)“…Let T be a bounded linear operator on a Banach space X . We prove certain inclusions and equalities between different parts of the spectrum of T and then apply…”
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Generalized Kato Decomposition and Essential Spectra
Published in Complex analysis and operator theory (01-08-2017)“…Let R denote any of the following classes: upper (lower) semi-Fredholm operators, Fredholm operators, upper (lower) semi-Weyl operators, Weyl operators, upper…”
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Generalized B-Fredholm Banach algebra elements
Published in Mediterranean journal of mathematics (01-10-2016)“…Given a (not necessarily continuous) homomorphism between Banach algebras T : A → B , an element a ∈ A will be said to be B-Fredholm (respectively, generalized…”
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6
Left–Right Browder and Left–Right Fredholm Operators
Published in Integral equations and operator theory (01-03-2011)“…We consider left and right Browder operators, left and right Fredholm operators, spectra related with these operators, and various operator quantities…”
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Spectral permanence for the Moore-Penrose inverse
Published in Proceedings of the American Mathematical Society (01-09-2012)“…C* algebra ``spectral permanence'' extends from the ordinary inverse to the Moore-Penrose inverse…”
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On Polynomially Riesz Operators
Published in Filomat (01-01-2014)“…A bounded linear operator 𝐴 on a Banach space 𝑋 is said to be "polynomially Riesz", if there exists a nonzero complex polynomial 𝑝 such that the image…”
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On some classes of Saphar type operators
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01-10-2022)“…In this paper we define and study operators of Saphar type in a Banach space, their subclasses, essentially left (right) Drazin invertible operators and left…”
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ON ALMOST ESSENTIALLY RUSTON ELEMENTS OF A BANACH ALGEBRA
Published in Filomat (01-09-2010)“…We introduce the class of "almost essentially Ruston elements" with respect to a homomorphism between two Banach algebras, a class intermediate between Ruston…”
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Polynomially Meromorphic Operators
Published in Mathematical proceedings of the Royal Irish Academy (2016)Get full text
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ON LEFT AND RIGHT BROWDER OPERATORS
Published in Journal of the Korean Mathematical Society (01-09-2011)“…We discuss the perturbation theory of "left" and "right"Browder operators, which come somewhere between Browder operators and semi Browder operators. KCI…”
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13
One-sided generalized Drazin-Riesz and one-sided generalized Drazin-meromorphic invertible operators
Published 19-03-2024“…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…”
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On some classes of Saphar type operators II
Published 24-03-2024“…The purpose of this paper is to explore additional properties of left Drazin invertible, essentially left Drazin invertible, right Drazin invertible, and…”
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15
Polynomially Meromorphic Operators
Published in Mathematical proceedings of the Royal Irish Academy (01-01-2016)“…Given a Banach space operator T ∈ B(χ), the following statements are equivalent: (i) T is polynomially meromorphic; (ii) T is generalised meromorphic; (iii)…”
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16
On Koliha-Drazin invertible operators and Browder type theorems
Published 01-12-2019“…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…”
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Generalized Drazin-meromorphic invertible operators and generalized Kato-meromorphic decomposition
Published 09-04-2019“…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 $S$…”
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Toplogical uniform descent, quasi-Fredholmness and operators originated from semi-B-Fredholm theory
Published 09-06-2018“…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…”
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19
Pseudo-B-Fredholm operators, poles of the resolvent and mean convergence in the Calkin Algebra
Published 22-05-2018“…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-…”
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20
Generalized Kato-Riesz decomposition
Published 10-05-2016“…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…”
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