IJPAM: Volume 108, No. 3 (2016)
PSEUDO B-FREDHOLM OPERATORS
Laboratory of Mathematical Analysis and Applications
Faculty of Sciences Dhar Al Mahraz
Sidi Mohamed Ben Abdellah University
Abstract. In this note, we show that the pseudo B-Fredholm and pseudo B-Weyl spectra, for a bounded linear operator on a Banach space, are compact in the complex plane. Afterwards, we prove that the pseudo B-Fredholm spectrum differs from the Kato spectrum on at most countable many points. Furthermore, if and have the SVEP at , we show that is a pseudo B-Weyl operator if and only if is a pseudo B-Fredholm operator.
Received: April 7, 2016
AMS Subject Classification: 47A53, 47A10, 47A11
Key Words and Phrases: pseudo B-Fredholm, pseudo B-Weyl, single-valued extension property, isolated point
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DOI: 10.12732/ijpam.v108i3.4 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 513 - 522