On the essential approximate point spectrum II

V. Rakočević

Displaying similar documents to “On the essential approximate point spectrum II”

On one subset M. Schechter's essential spectrum

V. Rakočević (1981)

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Quasihyponormal operators and the continuity of the approximate point spectrum.

Djordjević, Slaviša V. (1997)

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Continuity of the Essential Spectrum in the Class of Quasihyponormal Operators

Slaviša V. Đorđević (1998)

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A characterization of some subsets of S-essential spectra of a multivalued linear operator

Teresa Álvarez, Aymen Ammar, Aref Jeribi (2014)

Colloquium Mathematicae

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We characterize some S-essential spectra of a closed linear relation in terms of certain linear relations of semi-Fredholm type.

On the generalized Kato spectrum

Benharrat, Mohammed, Messirdi, Bekkai (2011)

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2010 Mathematics Subject Classification: 47A10. We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = {l О C ; R(lI-T) is not closed } is at most countable and we also give some relationship between this spectrum and the SVEP theory.

The Słodkowski spectra and higher Shilov boundaries

Vladimír Müller (1993)

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We investigate relations between the spectra defined by Słodkowski [14] and higher Shilov boundaries of the Taylor spectrum. The results generalize the well-known relation between the approximate point spectrum and the usual Shilov boundary.

Correction to "Method od orthogonal projections and approximation of the spectrum of a bounded operator" Studia Math. 65 (1979), 21-29

Andrzej Pokrzywa (1985)

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The joint approximate spectrum of a finite system of elements of a C*-algebra

GH. Mocanu (1974)

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Weyl type theorems for p-hyponormal and M-hyponormal operators

Xiaohong Cao, Maozheng Guo, Bin Meng (2004)

Studia Mathematica

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"Generalized Weyl's theorem holds" for an operator when the complement in the spectrum of the B-Weyl spectrum coincides with the isolated points of the spectrum which are eigenvalues; and "generalized a-Weyl's theorem holds" for an operator when the complement in the approximate point spectrum of the semi-B-essential approximate point spectrum coincides with the isolated points of the approximate point spectrum which are eigenvalues. If T or T* is p-hyponormal or M-hyponormal then for...

B-Fredholm and Drazin invertible operators through localized SVEP

M. Amouch, H. Zguitti (2011)

Mathematica Bohemica

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Let $X$ be a Banach space and $T$ be a bounded linear operator on $X$ . We denote by $S (T)$ the set of all complex $λ \in ℂ$ such that $T$ does not have the single-valued extension property at $λ$ . In this note we prove equality up to $S (T)$ between the left Drazin spectrum, the upper semi-B-Fredholm spectrum and the semi-essential approximate point spectrum. As applications, we investigate generalized Weyl’s theorem for operator matrices and multiplier operators.

On operators with the same spectrum

Gh. Constantin (1975)

Matematički Vesnik

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Qualitative properties of the peripheral spectrum

Jaroslav Zemánek (2007)

Banach Center Publications

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Spectra originating from semi-B-Fredholm theory and commuting perturbations

Qingping Zeng, Qiaofen Jiang, Huaijie Zhong (2013)

Studia Mathematica

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Burgos, Kaidi, Mbekhta and Oudghiri [J. Operator Theory 56 (2006)] provided an affirmative answer to a question of Kaashoek and Lay and proved that an operator F is of power finite rank if and only if $σ_{d s c} (T + F) = σ_{d s c} (T)$ for every operator T commuting with F. Later, several authors extended this result to the essential descent spectrum, left Drazin spectrum and left essential Drazin spectrum. In this paper, using the theory of operators with eventual topological uniform descent and the technique used...