# Almost exactness in normed spaces II

Studia Mathematica (1996)

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

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topHarte, 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

top- [1] R. E. Harte, Almost open mappings between normed spaces, Proc. Amer. Math. Soc. 90 (1984), 243-249. Zbl0541.46005
- [2] R. E. Harte, Almost exactness in normed spaces, ibid. 100 (1987), 257-265. Zbl0626.47001
- [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. Zbl0694.47002
- [6] F. A. Potra and V. Pták, Nondiscrete Induction and Iterative Processes, Pitman Res. Notes 103, Pitman, New York, 1984. Zbl0549.41001
- [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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