Perturbation of a Fredholm complex by inessential operators.
Gleason, Jim (2001)
Georgian Mathematical Journal
Similarity:
Gleason, Jim (2001)
Georgian Mathematical Journal
Similarity:
Robert Israel (1974)
Studia Mathematica
Similarity:
L. A. Coburn, A. Lebow (1966)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
M. Berkani, M. Sarih (2001)
Studia Mathematica
Similarity:
Let X be a Banach space and let T be a bounded linear operator acting on X. Atkinson's well known theorem says that T is a Fredholm operator if and only if its projection in the algebra L(X)/F₀(X) is invertible, where F₀(X) is the ideal of finite rank operators in the algebra L(X) of bounded linear operators acting on X. In the main result of this paper we establish an Atkinson-type theorem for B-Fredholm operators. More precisely we prove that T is a B-Fredholm operator if and only...
Abdelmoumen, Boulbeba, Baklouti, Hamadi (2009)
Journal of Inequalities and Applications [electronic only]
Similarity:
Živković, Snežana (1997)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Bhagwati Prashad Duggal (2005)
Extracta Mathematicae
Similarity:
A Banach space operator T belonging to B(X) is said to be hereditarily normaloid, T ∈ HN, if every part of T is normaloid; T ∈ HN is totally hereditarily normaloid, T ∈ THN, if every invertible part of T is also normaloid; and T ∈ CHN if either T ∈ THN or T - λI is in HN for every complex number λ. Class CHN is large; it contains a number of the commonly considered classes of operators. We study operators T ∈ CHN, and prove that the Riesz projection associated with a λ ∈ isoσ(T), T ∈...
Yuan, Jiangtao, Gao, Zongsheng (2007)
Journal of Inequalities and Applications [electronic only]
Similarity:
Martin Schechter (1967)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
M. Schechter, Robert Whitley (1988)
Studia Mathematica
Similarity:
J.I. NIETO (1968)
Mathematische Annalen
Similarity:
Duggal, B.P. (2005)
International Journal of Mathematics and Mathematical Sciences
Similarity: