CHARACTERIZATIONS OF STRICTLY SINGULAR AND STRICTLY COSINGULAR OPERATORS BY PERTURBATION CLASSES

DOI10.1017/S0017089511000346zbMath1257.47020MaRDI QIDQ3116837

Pietro Aiena, González, Manuel, Antonio Martínez-Abeljón

Publication date: 12 February 2012

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

operator idealstrictly singular operatorperturbation classstrictly cosingular operatorinessential operatorlower semi-Fredholm operatorupper semi-Fredholm operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53)

Related Items (1)

Two classes of operators related to the perturbation classes problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Tauberian operators
• Perturbation classes for semi-Fredholm operators on \(L_p(\mu)\)-spaces
• Banach spaces in various positions
• The perturbation classes problem in Fredholm theory.
• ON THE PERTURBATION CLASSES OF CONTINUOUS SEMI-FREDHOLM OPERATORS The first-named author was supported by the M.U.R.S.T. (Italy), Fondi ex 40. The second-named author was supported by the DGES (Spain), Grant PB 97-1489. The third-named author was supported by the Gobierno de Canarias (Spain), PI2001039.

This page was built for publication: CHARACTERIZATIONS OF STRICTLY SINGULAR AND STRICTLY COSINGULAR OPERATORS BY PERTURBATION CLASSES