Almost exactness in normed spaces II

• Autorzy: Robin Harte , Mostafa Мbekhta
• Języki publikacji: EN

Abstrakty

EN

In the normed space of bounded operators between a pair of normed spaces, the set of operators which are "bounded below" forms the interior of the set of one-one operators. This note is concerned with the extension of this observation to certain spaces of pairs of operators.

Kategorie tematyczne

• 46B08: Ultraproduct techniques in Banach space theory
• 47B07: Operators defined by compactness properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995-1996
• Tom: 117
• Numer: 2
• Strony: 101-105

Daty

wydano

1996

otrzymano

1992-04-30

poprawiono

1995-06-14

Twórcy

autor

Robin Harte

• School of Mathematics, Trinity College, Dublin, Ireland
• Instituto de Matemáticas, Universidad Nacional, Autónoma de México, México 04510 DF, Mexico

autor

Mostafa Мbekhta

• Université des Sciences et Technologies de Lille, U.R.A. D 751 CNRS "GAT", U.F.R. de Mathématiques, F-59655 Villeneuve d'ascq Cedex France
• University of Galatasaray, Ciragan Acd. No: 102, Ortakoy 80840, Istanbul, Turkey

Bibliografia

• [1] R. E. Harte, Almost open mappings between normed spaces, Proc. Amer. Math. Soc. 90 (1984), 243-249.
• [2] R. E. Harte, Almost exactness in normed spaces, ibid. 100 (1987), 257-265.
• [3] R. E. Harte, Invertibility and Singularity, Dekker, New York, 1988.
• [4] R. E. Harte, Taylor exactness and Kato's jump, Proc. Amer. Math. Soc. 119 (1993), 793-801.
• [5] M. Mbekhta, Résolvant généralisé et théorie spectrale, J. Operator Theory 21 (1989), 69-105.
• [6] F. A. Potra and V. Pták, Nondiscrete Induction and Iterative Processes, Pitman Res. Notes 103, Pitman, New York, 1984.
• [7] V. Wrobel, The boundary of Taylor's joint spectrum for a pair of commuting Banach space operators, Studia Math. 84 (1986), 105-111.