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- W1966090925 abstract "The Banach–Lie algebra L ( A ) of multiplication operators on the JB ∗ -triple A is introduced and it is shown that the hermitian part L ( A ) h of L ( A ) is a unital GM-space the base of the dual cone in the dual GL-space ( L ( A ) h ) ∗ of which is affine isomorphic and weak ∗ -homeomorphic to the state space of L ( A ) . In the case in which A is a JBW ∗ -triple, it is shown that tripotents u and v in A are orthogonal if and only if the corresponding multiplication operators in the unital GM-space L ( A ) h satisfy 0 ⩽ D ( u , u ) + D ( v , v ) ⩽ id A , and that u is a pre-associate of v if and only if D ( u , u ) ⩽ D ( v , v ) ." @default.
- W1966090925 created "2016-06-24" @default.
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- W1966090925 date "2008-06-01" @default.
- W1966090925 modified "2023-09-30" @default.
- W1966090925 title "The Banach–Lie algebra of multiplication operators on a JBW∗-triple" @default.
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- W1966090925 doi "https://doi.org/10.1016/j.jfa.2008.02.005" @default.
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