Almost exactness in normed spaces II

Robin Harte; Мostafa Мbekhta

Studia Mathematica (1996)

  • Volume: 117, Issue: 2, page 101-105
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Harte, Robin, and Мbekhta, Мostafa. "Almost exactness in normed spaces II." Studia Mathematica 117.2 (1996): 101-105. <http://eudml.org/doc/216244>.

@article{Harte1996,
abstract = {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.},
author = {Harte, Robin, Мbekhta, Мostafa},
journal = {Studia Mathematica},
keywords = {normal space of bounded operators between a pair of normed spaces; set of one-one operators},
language = {eng},
number = {2},
pages = {101-105},
title = {Almost exactness in normed spaces II},
url = {http://eudml.org/doc/216244},
volume = {117},
year = {1996},
}

TY - JOUR
AU - Harte, Robin
AU - Мbekhta, Мostafa
TI - Almost exactness in normed spaces II
JO - Studia Mathematica
PY - 1996
VL - 117
IS - 2
SP - 101
EP - 105
AB - 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.
LA - eng
KW - normal space of bounded operators between a pair of normed spaces; set of one-one operators
UR - http://eudml.org/doc/216244
ER -

References

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  1. [1] R. E. Harte, Almost open mappings between normed spaces, Proc. Amer. Math. Soc. 90 (1984), 243-249. Zbl0541.46005
  2. [2] R. E. Harte, Almost exactness in normed spaces, ibid. 100 (1987), 257-265. Zbl0626.47001
  3. [3] R. E. Harte, Invertibility and Singularity, Dekker, New York, 1988. 
  4. [4] R. E. Harte, Taylor exactness and Kato's jump, Proc. Amer. Math. Soc. 119 (1993), 793-801. 
  5. [5] M. Mbekhta, Résolvant généralisé et théorie spectrale, J. Operator Theory 21 (1989), 69-105. Zbl0694.47002
  6. [6] F. A. Potra and V. Pták, Nondiscrete Induction and Iterative Processes, Pitman Res. Notes 103, Pitman, New York, 1984. Zbl0549.41001
  7. [7] V. Wrobel, The boundary of Taylor's joint spectrum for a pair of commuting Banach space operators, Studia Math. 84 (1986), 105-111. Zbl0619.47002

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