Constructing non-compact operators into c₀
Studia Mathematica (2010)
- Volume: 201, Issue: 1, page 65-67
- ISSN: 0039-3223
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topIryna Banakh, and Taras Banakh. "Constructing non-compact operators into c₀." Studia Mathematica 201.1 (2010): 65-67. <http://eudml.org/doc/285457>.
@article{IrynaBanakh2010,
abstract = {We prove that for each dense non-compact linear operator S: X → Y between Banach spaces there is a linear operator T: Y → c₀ such that the operator TS: X → c₀ is not compact. This generalizes the Josefson-Nissenzweig Theorem.},
author = {Iryna Banakh, Taras Banakh},
journal = {Studia Mathematica},
keywords = {Banach space; non-compact operator; Josefson-Nissenzweig theorem},
language = {eng},
number = {1},
pages = {65-67},
title = {Constructing non-compact operators into c₀},
url = {http://eudml.org/doc/285457},
volume = {201},
year = {2010},
}
TY - JOUR
AU - Iryna Banakh
AU - Taras Banakh
TI - Constructing non-compact operators into c₀
JO - Studia Mathematica
PY - 2010
VL - 201
IS - 1
SP - 65
EP - 67
AB - We prove that for each dense non-compact linear operator S: X → Y between Banach spaces there is a linear operator T: Y → c₀ such that the operator TS: X → c₀ is not compact. This generalizes the Josefson-Nissenzweig Theorem.
LA - eng
KW - Banach space; non-compact operator; Josefson-Nissenzweig theorem
UR - http://eudml.org/doc/285457
ER -
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