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On the defect spectrum of an extension of a Banach space operator

Vladimír Kordula — 1998

Czechoslovak Mathematical Journal

Let $T$ be an operator acting on a Banach space $X$ . We show that between extensions of $T$ to some Banach space $Y \supset X$ which do not increase the defect spectrum (or the spectrum) it is possible to find an extension with the minimal possible defect spectrum.

Contractions similar to isometries

Vladimír Kordula — 1993

Czechoslovak Mathematical Journal

A continuous semicharacter

Vladimír Kordula; Vladimír Müller — 1996

Czechoslovak Mathematical Journal

On the semi-Browder spectrum

Vladimír Kordula; Vladimír Müller; Vladimir Rakočević — 1997

Studia Mathematica

An operator in a Banach space is called upper (lower) semi-Browder if it is upper (lower) semi-Fredholm and has a finite ascent (descent). We extend this notion to n-tuples of commuting operators and show that this notion defines a joint spectrum. Further we study relations between semi-Browder and (essentially) semiregular operators.

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