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1
Content available remote

On the Taylor functional calculus

100%
Müller V.
Studia Mathematica
|
2002
|
tom 150
|
nr 1
79-97
EN
We give a Martinelli-Vasilescu type formula for the Taylor functional calculus and a simple proof of its basic properties.
2
Content available remote

The splitting spectrum differs from the Taylor spectrum

100%
Müller V.
Studia Mathematica
|
1997
|
tom 123
|
nr 3
291-294
EN
We construct a pair of commuting Banach space operators for which the splitting spectrum is different from the Taylor spectrum.
3
Content available remote

Open set of eigenvalues and SVEP

64%
Bračič J., Müller V.
Banach Center Publications
|
2007
|
tom 75
|
nr 1
67-69
4
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On the axiomatic theory of spectrum

64%
Kordula V., Müller V.
Studia Mathematica
|
1996
|
tom 119
|
nr 2
109-128
EN
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).
5
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A note on topologically nilpotent Banach algebras

64%
G. Dixon P., Müller V.
Studia Mathematica
|
1992
|
tom 102
|
nr 3
269-275
EN
A Banach algebra A is said to be topologically nilpotent if $sup{∥x₁... ...x_n∥^{1/n}: x_i ∈ A, ∥x_i∥ ≤ 1 (1 ≤ i ≤ n)}$ tends to 0 as n → ∞. We continue the study of topologically nilpotent algebras which was started in [2]
6
Content available remote

On the axiomatic theory of spectrum II

64%
Mbekhta M., Müller V.
Studia Mathematica
|
1996
|
tom 119
|
nr 2
129-147
EN
We give a survey of results concerning various classes of bounded linear operators in a Banach space defined by means of kernels and ranges. We show that many of these classes define a spectrum that satisfies the spectral mapping property.
7
Content available remote

Stability of infinite ranges and kernels

64%
Förster K.-H., Müller V.
Studia Mathematica
|
2006
|
tom 174
|
nr 1
61-73
EN
Let A(·) be a regular function defined on a connected metric space G whose values are mutually commuting essentially Kato operators in a Banach space. Then the spaces $R^{∞}(A(z))$ and $\overline{N^{∞}(A(z))}$ do not depend on z ∈ G. This generalizes results of B. Aupetit and J. Zemánek.
8
Content available remote

Vasilescu-Martinelli formula for operators in Banach spaces

64%
Kordula V., Müller V.
Studia Mathematica
|
1995
|
tom 113
|
nr 2
127-139
EN
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.
9
Content available remote

A quasi-nilpotent operator with reflexive commutant, II

64%
Müller V., Zając M.
Studia Mathematica
|
1999
|
tom 132
|
nr 2
173-177
EN
A new example of a non-zero quasi-nilpotent operator T with reflexive commutant is presented. The norms $|T^n|$ converge to zero arbitrarily fast.
10
Content available remote

Corrigendum and addendum: "On the axiomatic theory of spectrum II"

52%
Koliha J. J., Mbekhta M., Müller V., Poon P. W.
Studia Mathematica
|
1998
|
tom 130
|
nr 2
193-198
EN
The main purpose of this paper is to correct the proof of Theorem 15 of [4], concerned with the stability of the class of quasi-Fredholm operators under finite rank perturbations, and to answer some open questions raised there.
11
Content available remote

On topologizable algebras

26%
Müller V.
Studia Mathematica
|
1991
|
tom 99
|
nr 2
149-153
12
Content available remote

Non-removable ideals in commutative Banach algebras

26%
Müller V.
Studia Mathematica
|
1982
|
tom 74
|
nr 1
97-104
13
Content available remote

On domination and extensions of Banach algebras

23%
Müller V.
Studia Mathematica
|
1982
|
tom 73
|
nr 1
75-80
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