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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Extremal structure in operator spaces


Author: M. Sharir
Journal: Trans. Amer. Math. Soc. 186 (1973), 91-111
MSC: Primary 47D20; Secondary 46B05
MathSciNet review: 0333829
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Abstract: (a) A characterization of extreme operators (in the unit ball of operators) between $ {L^1}$-spaces is given, together with other related properties, (b) A general theorem of Kreĭn-Milman type for the unit ball of operator spaces is proved, and is applied to operators between $ {L^1}$-spaces and to operators into C-spaces.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1973-0333829-7
PII: S 0002-9947(1973)0333829-7
Keywords: Extreme operators, nice operators, theorems of Kreĭn-Milman type, $ {L^1}$-spaces, hyperstonian spaces, C-spaces
Article copyright: © Copyright 1973 American Mathematical Society