# 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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