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

100%

Koliha J. J., Mbekhta M., Müller V., Poon P. W.

Studia Mathematica

1998

tom 130

nr 2

193-198

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.

Semi-Browder operators and perturbations

100%

Rakočević V.

Studia Mathematica

1997

tom 122

nr 2

131-137

An operator in a Banach space is called upper (resp. lower) semi-Browder if it is upper (lower) semi-Fredholm and has a finite ascent (resp. descent). An operator in a Banach space is called semi-Browder if it is upper semi-Browder or lower semi-Browder. We prove the stability of the semi-Browder operators under commuting Riesz operator perturbations. As a corollary we get some results of Grabiner [6], Kaashoek and Lay [8], Lay [11], Rakočević [15] and Schechter [16].

On the axiomatic theory of spectrum II

88%

Mbekhta M., Müller V.

Studia Mathematica

1996

tom 119

nr 2

129-147

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.

Ograniczanie wyników

3 Studia Mathematica

2 Mbekhta M.

2 Müller V.

1 Koliha J. J.

1 Poon P. W.

1 Rakočević V.

1 1998

1 1997

1 1996

Wyniki wyszukiwania

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

Semi-Browder operators and perturbations

On the axiomatic theory of spectrum II