Published March 1994 | Version v1
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Spectral application of the theorem for the essential quasi-Fredholm spectrum

  • 1. International Centre for Theoretical Physics, Trieste (Italy)
  • 2. Universite Mohammed I, Oujda (Morocco). Dept. of Mathematics

Description

In 1958, T. Kato has proved that a closed semi-Fredholm operator A in Banach space can be written A=A1 + A0 where A0 is a nilpotent operator and A1 is a regular one. In J.P. Labrousse has defined and studied quasi-Fredholm operators which are an extension of semi-Fredholm operators. He has also defined the essential quasi-Fredholm spectrum. In this paper we prove the mapping spectral theorem for the essential quasi-Fredholm spectrum concerning bounded operators in Hilbert spaces. (author). 5 refs

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Additional details

Additional titles

Original title (French)
Theoreme de l'application spectrale pour le spectre essentiel quasi-Fredholm

Publishing Information

Imprint Pagination
11 p.
Report number
IC--94/58

INIS

Country of Publication
International Atomic Energy Agency (IAEA)
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
25045358
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRA; HILBERT SPACE; MATHEMATICAL OPERATORS; TOPOLOGICAL MAPPING
Descriptors DEC
BANACH SPACE; MAPPING; MATHEMATICAL SPACE; MATHEMATICS; SPACE; TRANSFORMATIONS