Linear inessential operators and generalized inverses
Commentationes Mathematicae Universitatis Carolinae (2009)
- Volume: 50, Issue: 1, page 75-82
- ISSN: 0010-2628
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topBarnes, Bruce A.. "Linear inessential operators and generalized inverses." Commentationes Mathematicae Universitatis Carolinae 50.1 (2009): 75-82. <http://eudml.org/doc/32481>.
@article{Barnes2009,
abstract = {The space of inessential bounded linear operators from one Banach space $X$ into another $Y$ is introduced. This space, $I(X,Y)$, is a subspace of $B(X,Y)$ which generalizes Kleinecke’s ideal of inessential operators. For certain subspaces $W$ of $\,I(X,Y)$, it is shown that when $T\in B(X,Y)$ has a generalized inverse modulo $W$, then there exists a projection $P\in B(X)$ such that $T(I-P)$ has a generalized inverse and $TP\in W$.},
author = {Barnes, Bruce A.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {inessential operator; Fredholm operator; generalized inverse; inessential operator; Fredholm operator; generalized inverse},
language = {eng},
number = {1},
pages = {75-82},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Linear inessential operators and generalized inverses},
url = {http://eudml.org/doc/32481},
volume = {50},
year = {2009},
}
TY - JOUR
AU - Barnes, Bruce A.
TI - Linear inessential operators and generalized inverses
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2009
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 50
IS - 1
SP - 75
EP - 82
AB - The space of inessential bounded linear operators from one Banach space $X$ into another $Y$ is introduced. This space, $I(X,Y)$, is a subspace of $B(X,Y)$ which generalizes Kleinecke’s ideal of inessential operators. For certain subspaces $W$ of $\,I(X,Y)$, it is shown that when $T\in B(X,Y)$ has a generalized inverse modulo $W$, then there exists a projection $P\in B(X)$ such that $T(I-P)$ has a generalized inverse and $TP\in W$.
LA - eng
KW - inessential operator; Fredholm operator; generalized inverse; inessential operator; Fredholm operator; generalized inverse
UR - http://eudml.org/doc/32481
ER -
References
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