Identity of Taylor's joint spectrum and Dash's joint spectrum
Muneo Chō, Makoto Takaguchi (1981)
Studia Mathematica
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Displaying similar documents to “Joint spectra”
Identity of Taylor's joint spectrum and Dash's joint spectrum
On joint spectra of commuting families of operators
W. Żelazko, Z. Słodkowski (1974)
Studia Mathematica
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On the geometric properties of the joint spectrum of a family of self-adjoint operators
Yu. Abramov (1977)
Studia Mathematica
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Joint essential spectra
Arvind B. Patel, Vallabh Vidyanagar (1984)
Czechoslovak Mathematical Journal
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On the axiomatic theory of spectrum
V. Kordula, V. Müller (1996)
Studia Mathematica
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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 operators with the same spectrum
Gh. Constantin (1975)
Matematički Vesnik
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Some classes of commuting n-tuples of operators
Muneo Chō, Makoto Takaguchi (1984)
Studia Mathematica
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The Słodkowski spectra and higher Shilov boundaries
Vladimír Müller (1993)
Studia Mathematica
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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.