On the spectral properties of tensor products of linear operators in Banach spaces

Takashi Ichinose

Displaying similar documents to “On the spectral properties of tensor products of linear operators in Banach spaces”

Comparison of joint spectra for certain classes of commuting operators

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The beginning of the spectral theory of Nevanlinna's mapping from topological space to endomorphisms algebra of Banach space and its applications.

Ragimov, Misir B. (2003)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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On the axiomatic theory of spectrum

V. Kordula, V. Müller (1996)

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There are a number of spectra studied in the literature which do not fit into the axiomatic theory of Żelazko. This paper is an attempt to give an axiomatic theory for these spectra, which, apart from the usual types of spectra, like one-sided, approximate point or essential spectra, include also the local spectra, the Browder spectrum and various versions of the Apostol spectrum (studied under various names, e.g. regular, semiregular or essentially semiregular).

On the characterization of scalar type spectral operators

P. A. Cojuhari, A. M. Gomilko (2008)

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The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.

On joint spectra of commuting families of operators

W. Żelazko, Z. Słodkowski (1974)

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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.

The boundary of the spectrum of a linear Operatoro

Taylor, A. E.

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