Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Isometries of $ L\sb{p}$-spaces associated with semifinite von Neumann algebras


Author: P. K. Tam
Journal: Trans. Amer. Math. Soc. 254 (1979), 339-354
MSC: Primary 46L10; Secondary 46L50, 47D15
MathSciNet review: 539922
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Abstract: The paper determines the structure of (classes of) linear isometries between $ {L_p}$-spaces associated with semifinite normal faithful traces on von Neumann algebras, generalizing works of M. Broise and B. Russo. Also established are some auxiliary results on $ {L_p}$ norm inequalities which are of interest by themselves.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1979-0539922-3
Article copyright: © Copyright 1979 American Mathematical Society