Reflexivity of spaces of weakly summable sequences.
RACSAM (2007)
- Volume: 101, Issue: 1, page 51-62
- ISSN: 1578-7303
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topOubbi, L., and Ould Sidaty, M. A.. "Reflexivity of spaces of weakly summable sequences.." RACSAM 101.1 (2007): 51-62. <http://eudml.org/doc/41663>.
@article{Oubbi2007,
abstract = {We deal with the space of Λ-summable sequences from a locally convex space E, where Λ is a metrizable perfect sequence space. We give a characterization of the reflexivity of Λ(E) in terms of that of Λ and E and the AK property. In particular, we prove that if Λ is an echelon sequence space and E is a Fréchet space then Λ(E) is reflexive if and only if Λ and E are reflexive.},
author = {Oubbi, L., Ould Sidaty, M. A.},
journal = {RACSAM},
keywords = {sequence spaces; reflexivity; AK-spaces},
language = {eng},
number = {1},
pages = {51-62},
title = {Reflexivity of spaces of weakly summable sequences.},
url = {http://eudml.org/doc/41663},
volume = {101},
year = {2007},
}
TY - JOUR
AU - Oubbi, L.
AU - Ould Sidaty, M. A.
TI - Reflexivity of spaces of weakly summable sequences.
JO - RACSAM
PY - 2007
VL - 101
IS - 1
SP - 51
EP - 62
AB - We deal with the space of Λ-summable sequences from a locally convex space E, where Λ is a metrizable perfect sequence space. We give a characterization of the reflexivity of Λ(E) in terms of that of Λ and E and the AK property. In particular, we prove that if Λ is an echelon sequence space and E is a Fréchet space then Λ(E) is reflexive if and only if Λ and E are reflexive.
LA - eng
KW - sequence spaces; reflexivity; AK-spaces
UR - http://eudml.org/doc/41663
ER -
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