Bahattin CENGİZ

10488

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

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.

Anahtar Kelimeler:

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

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

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.

Keywords:

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

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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