Vol. 115, No. 2, 1984

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Conditional expectation without order

Yaakov Friedman and Bernard Russo

Vol. 115 (1984), No. 2, 351–360
Abstract

In this paper we show that an arbitrary contractive projection on a J-algebra has the properties of a conditional expectation (Theorem 1). This fact is then used to solve the bicontractive projective problem (Theorem 2).

Mathematical Subject Classification 2000
Primary: 46L70
Secondary: 46L50
Milestones
Received: 30 March 1983
Published: 1 December 1984
Authors
Yaakov Friedman
Bernard Russo