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Turkish Journal of Mathematics

The Isometries of the Bochner Space Lp(m,H)

Bahattin CENGİZ
Department of Mathematics,
Hacettepe University,
06532 Beytepe, Ankara-TURKEY

Abstract: In this article, the known characterization of the surjective linear isometries of the Bochner space Lp(m, H), for a s-finite measure m and an arbitrary Hilbert space H, in terms of regular set isomorphisms of the s-algebra involved and strongly measurable families of surjective isometries of H, is extended to arbitrary measures.

Turk. J. Math., 23, (1999), 389-400.
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Other articles published in the same issue: Turk. J. Math.,vol.23,iss.3.