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

• Autorzy: J. J. Koliha , M. Mbekhta , V. Müller , Pak Wai Poon
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

quasi-Fredholm operators; ascent; descent

Kategorie tematyczne

• 47A53: (Semi-) Fredholm operators; index theories
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1998
• Tom: 130
• Numer: 2
• Strony: 193-198

Daty

wydano

1998

otrzymano

1997-11-19

Twórcy

autor

J. J. Koliha

• Department of Mathematics, The University of Melbourne,Parkville, Victoria 3052, Australia.

autor

M. Mbekhta

• Université de Lille, U.F.R. de Mathématiques, F-59655 Villeneuve d'Ascq Cedex, France.

autor

V. Müller

• Institute of Mathematics AV ČR, Žitna 25, 115 67 Praha 1, Czech Republic.

autor

Pak Wai Poon

• Department of Mathematics, The University of Melbourne, Parkville, Victoria 3052, Australia

Bibliografia

• [1] S. Grabiner, Uniform ascent and descent of bounded operators, J. Math. Soc. Japan 34 (1982), 317-337.
• [2] V. Kordula, The essential Apostol spectrum and finite dimensional perturbations, Proc. Roy. Irish Acad. Sect. A 96 (1996), 105-110.
• [3] V. Kordula and V. Müller, On the axiomatic theory of spectrum, Studia Math. 119 (1996), 109-128.
• [4] M. Mbekhta and V. Müller, On the axiomatic theory of spectrum II, ibid., 129-147.