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Multipliers of Banach valued function spaces

Part of: Permutation groups Normed linear spaces and Banach spaces; Banach lattices Abstract harmonic analysis Measures, integration, derivative, holomorphy

Published online by Cambridge University Press:  09 April 2009

Hang-Chin Lai
Hang-Chin Lai
Affiliation:
Institute of Mathematics National Tsing Hua UniversityTaiwan, Republic of China
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Abstract

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Let A be a commutative Banach algebra with identity of norm 1, X a Banach A-module and G a locally compact abeian group with Haar measure. Then the multipliers from an A -valued function algebra into an X-valued function space is studied. We characterize the multiplier spaces as the following isometrically isomorphic relations under some appropriate conditions:

Keywords

Banach modulehomomorphisminvariant operatormultiplierBochner integralvector measure.

MSC classification

Secondary: 20B05: General theory for finite groups 43A22: Homomorphisms and multipliers of function spaces on groups, semigroups, etc. 46G10: Vector-valued measures and integration 46B22: Radon-Nikodým, Kreĭn-Milman and related properties
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 39 , Issue 1 , August 1985 , pp. 51 - 62
Copyright
Copyright © Australian Mathematical Society 1985

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