The Reconstruction Property in Banach Spaces and a Perturbation Theorem
Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 348-358
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Perturbation theory is a fundamental tool in Banach space theory. However, the applications of the classical results are limited by the fact that they force the perturbed sequence to be equivalent to the given sequence. We will develop amore general perturbation theory that does not force equivalence of the sequences.
Casazza, Peter G.; Christensen, Ole. The Reconstruction Property in Banach Spaces and a Perturbation Theorem. Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 348-358. doi: 10.4153/CMB-2008-035-3
@article{10_4153_CMB_2008_035_3,
author = {Casazza, Peter G. and Christensen, Ole},
title = {The {Reconstruction} {Property} in {Banach} {Spaces} and a {Perturbation} {Theorem}},
journal = {Canadian mathematical bulletin},
pages = {348--358},
year = {2008},
volume = {51},
number = {3},
doi = {10.4153/CMB-2008-035-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-035-3/}
}
TY - JOUR AU - Casazza, Peter G. AU - Christensen, Ole TI - The Reconstruction Property in Banach Spaces and a Perturbation Theorem JO - Canadian mathematical bulletin PY - 2008 SP - 348 EP - 358 VL - 51 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-035-3/ DO - 10.4153/CMB-2008-035-3 ID - 10_4153_CMB_2008_035_3 ER -
%0 Journal Article %A Casazza, Peter G. %A Christensen, Ole %T The Reconstruction Property in Banach Spaces and a Perturbation Theorem %J Canadian mathematical bulletin %D 2008 %P 348-358 %V 51 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-035-3/ %R 10.4153/CMB-2008-035-3 %F 10_4153_CMB_2008_035_3
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