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On the axiomatic theory of spectrum

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Kordula V., Müller V.

Studia Mathematica

1996

tom 119

nr 2

109-128

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).

Vasilescu-Martinelli formula for operators in Banach spaces

100%

Kordula V., Müller V.

Studia Mathematica

1995

tom 113

nr 2

127-139

We prove a formula for the Taylor functional calculus for functions analytic in a neighbourhood of the splitting spectrum of an n-tuple of commuting Banach space operators. This generalizes the formula of Vasilescu for Hilbert space operators and is closely related to a recent result of D. W. Albrecht.

Ograniczanie wyników

2 Studia Mathematica

2 Kordula V.

2 Müller V.

1 1996

1 1995

Wyniki wyszukiwania

On the axiomatic theory of spectrum

Vasilescu-Martinelli formula for operators in Banach spaces