Spaces of multipliers and their preduals for the order multiplication on [0, 1]

Savita Bhatnagar; H. L. Vasudeva

Colloquium Mathematicae (2002)

  • Volume: 94, Issue: 1, page 21-36
  • ISSN: 0010-1354

Abstract

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Let I = [0, 1] be the compact topological semigroup with max multiplication and usual topology. C(I), L p ( I ) , 1 ≤ p ≤ ∞, are the associated Banach algebras. The aim of the paper is to characterise H o m C ( I ) ( L r ( I ) , L p ( I ) ) and their preduals.

How to cite

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Savita Bhatnagar, and H. L. Vasudeva. "Spaces of multipliers and their preduals for the order multiplication on [0, 1]." Colloquium Mathematicae 94.1 (2002): 21-36. <http://eudml.org/doc/284539>.

@article{SavitaBhatnagar2002,
abstract = {Let I = [0, 1] be the compact topological semigroup with max multiplication and usual topology. C(I), $L^\{p\}(I)$, 1 ≤ p ≤ ∞, are the associated Banach algebras. The aim of the paper is to characterise $Hom_\{C(I)\}(L^\{r\}(I), L^\{p\}(I))$ and their preduals.},
author = {Savita Bhatnagar, H. L. Vasudeva},
journal = {Colloquium Mathematicae},
keywords = {semigroup; multiplier spaces; preduals},
language = {eng},
number = {1},
pages = {21-36},
title = {Spaces of multipliers and their preduals for the order multiplication on [0, 1]},
url = {http://eudml.org/doc/284539},
volume = {94},
year = {2002},
}

TY - JOUR
AU - Savita Bhatnagar
AU - H. L. Vasudeva
TI - Spaces of multipliers and their preduals for the order multiplication on [0, 1]
JO - Colloquium Mathematicae
PY - 2002
VL - 94
IS - 1
SP - 21
EP - 36
AB - Let I = [0, 1] be the compact topological semigroup with max multiplication and usual topology. C(I), $L^{p}(I)$, 1 ≤ p ≤ ∞, are the associated Banach algebras. The aim of the paper is to characterise $Hom_{C(I)}(L^{r}(I), L^{p}(I))$ and their preduals.
LA - eng
KW - semigroup; multiplier spaces; preduals
UR - http://eudml.org/doc/284539
ER -

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