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Multipliers of Banach valued function spaces

  • Hang-Chin Lai (a1)
Abstract
Abstract

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:

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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[1]N. Dinculeanu , Vector measures (Pergamon, Oxford, 1967).

[3]J. Diestel and J. J. Uhl Jr, Vector measures (Math. Surveys, Amer. Math. Soc., No. 15, 1977).

[6]G. P. Johnson , ‘Spaces of functions with values in a Banach algebra’, Trans. Amer. Math. Soc. 92 (1959), 411429.

[8]H. C. Lai , ‘Multipliers of a Banach algebra in the second conjugate algebra as an idealizer’, Tôhoku Math. J. 26 (1974), 431452.

[10]R. Larsen , An introduction to the theory of multipliers (Springer-Verlag, Berlin and New York, 1971).

[12]M. Rieffel , ‘Induced Banach representations of Banach algebras and locally compact groups’, J. Functional Analysis 1 (1967), 443491.

[13]U. B. Tewari , M. Dutta and D. P. Vaidya , ‘Multipliers of group algebra of vector-valued functions’, Proc. Amer. Math. Soc. 81 (1981), 223229.

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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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