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• W2137071040 abstract "Abstract Pre-symmetric complex Banach spaces have been proposed as models for state spaces of physical systems. A neutral GL-projection on a pre-symmetric space represents an operation on the corresponding system, and has as its range a further pre-symmetric space which represents the state space of the resulting system. Two neutral GL-projections S and T on the pre-symmetric space A * are said to be L-orthogonal if for all elements x in SA * and y in TA * , By studying the algebraic properties of the dual space A of A * , which is a JBW*-triple, it is shown that, provided that the orthogonal neutral GL-projections S and T satisfy a certain geometrical condition, there exists a smallest neutral GL-projection S ∨ T majorizing both S and T , and that S , T and S ∨ T form a compatible family." @default.
• W2137071040 created "2016-06-24" @default.
• W2137071040 creator A5019907385 @default.
• W2137071040 date "2007-07-01" @default.
• W2137071040 modified "2023-09-25" @default.
• W2137071040 title "Orthogonal pairs of weak*-closed inner ideals in a JBW*-triple" @default.
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• W2137071040 doi "https://doi.org/10.1017/s0305004107000333" @default.
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