Multipliers and tensor products of vector valued Lp (G, A) spaces

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Saǧir B.

Taiwanese Journal of Mathematics, vol.7, no.3, pp.493-501, 2003 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 3
  • Publication Date: 2003
  • Doi Number: 10.11650/twjm/1500558400
  • Journal Name: Taiwanese Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.493-501
  • Keywords: Multipliers, Tensor products, Vector valued Lp (G,A) spaces
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper we define a normed space Apq, (G, A) and prove some properties of this space. In particular, we show that the space ℒ√ (G, A)⊗L∞(G,A) ℒII (G, A) is isometrically isomorphic to the space Apq (G, A) and the space of multipliers from Lp(G,A) to Lq′ (G, A*) is isometrically isomorphic to the dual of the space A pq, (G, A) if G satisfies a property Pp q.