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1
Content available remote

Orbits in strips

100%
Zemánek J.
Banach Center Publications
|
2007
|
tom 75
|
nr 1
2
Content available remote

Powers of operators

100%
Zemánek J.
Banach Center Publications
|
2007
|
tom 75
|
nr 1
327-328
3
Content available remote

Qualitative properties of the peripheral spectrum

100%
Zemánek J.
Banach Center Publications
|
2007
|
tom 75
|
nr 1
4
Content available remote

On the Gelfand-Hille theorems

100%
Zemánek J.
Banach Center Publications
|
1994
|
tom 30
|
nr 1
369-385
5
Content available remote

A resolvent condition implying power boundedness

64%
Nagy B., Zemánek J.
Studia Mathematica
|
1999
|
tom 134
|
nr 2
143-151
EN
The Ritt and Kreiss resolvent conditions are related to the behaviour of the powers and their various means. In particular, it is shown that the Ritt condition implies the power boundedness. This improves the Nevanlinna characterization of the sublinear decay of the differences of the consecutive powers in the Esterle-Katznelson-Tzafriri theorem, and actually characterizes the analytic Ritt condition by two geometric properties of the powers.
6
Content available remote

A spectral approach to the Kaplansky problem

64%
Mbekhta M., Zemánek J.
Banach Center Publications
|
2007
|
tom 75
|
nr 1
319-320
7
Content available remote

Quasi-nilpotent and compact

64%
Mbekhta M., Zemánek J.
Banach Center Publications
|
2007
|
tom 75
|
nr 1
8
Content available remote

The Gerschgorin discs under unitary similarity

64%
Zalewska-Mitura A., Zemánek J.
Banach Center Publications
|
1997
|
tom 38
|
nr 1
427-441
EN
The intersection of the Gerschgorin regions over the unitary similarity orbit of a given matrix is studied. It reduces to the spectrum in some cases: for instance, if the matrix satisfies a quadratic equation, and also for matrices having "large" singular values or diagonal entries. This leads to a number of open questions.
9
Content available remote

Polynomials in the Volterra and Ritt operators

64%
Tsedenbayar D., Zemánek J.
Banach Center Publications
|
2005
|
tom 67
|
nr 1
385-390
EN
We continue the paper [Ts] on the boundedness of polynomials in the Volterra operator. This provides new ways of constructing power-bounded operators. It seems interesting to point out that a similar procedure applies to the operators satisfying the Ritt resolvent condition: compare Theorem 5 and Theorem 9 below.
10
Content available remote

Geometric characteristic of semi-Fredholm operators and their asymptotic behaviour

50%
Zemánek J.
Studia Mathematica
|
1984
|
tom 80
|
nr 3
219-234
11
Content available remote

Lower s-numbers and their asymptotic behaviour

45%
Rakočević V., Zemánek J.
Studia Mathematica
|
1988
|
tom 91
|
nr 3
231-239
12
Content available remote

Properties of the spectral radius in Banach algebras

44%
Zemánek J.
Banach Center Publications
|
1982
|
tom 8
|
nr 1
579-595
13
Content available remote

Spectral radius characterization of commutativity in Banach algebras

38%
Zemánek J.
Studia Mathematica
|
1977
|
tom 61
|
nr 3
257-268
14
Content available remote

Spectral characterization of two-sided ideals in Banach algebras

32%
Zemánek J.
Studia Mathematica
|
1980
|
tom 67
|
nr 1
1-12
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