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.,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
A class of Banach algebras whose duals have the Schur propertry
The Isometries of the Bochner Space Lp(m,H)
Alternative Polynomial and Holomorphic Dunford-Pettis Properties
Some Theorems Involving Inequalities on p-valent Functions
Hüseyin IRMAK, Ömer Faruk ÇETİN
Tyurina Components and Rational Cycles for Rational Singularities
Structure of m-Dimensional Implicitly Defined Surfaces in n-Dimensional Euclidean Space En
Structure of m-dimensional implicitly defined surfaces in n-dimensional Euclidean space $E_n$
Generalized Solutions of a Class of Linear and Quasi-Linear Degenerated Hyperbolic Equations
The isometries of the Bochner space $L^p(mu$,H)