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- W750809733 abstract "Let $H$ be a separable, infinite dimensional, complex Hilbert space and let $L(H)$ be the algebra of all bounded linear operators on $H$. A dual algebra is a subalgebra of $L(H)$ that contains the identity operator $I_H$ and is closed in the ultraweak operator topology on $L(H)$. Note that the ultraweak operator topology coincides with the weak topology on $L(H) (cf. [6]). Several functional analysists have studied the problem of solving systems of simultaneous equations in the predual of a dual algebra (cf. [3]). This theory is applied to the study of invariant subspaces and dilation theory, which are deeply related to the classes $A_{m,n}$ (that will be defined below) (cf. [3]). An abstract geometric criterion for dual algebras with property $(A_{aleph_0}, {aleph_0})$ was first given in [1]." @default.
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- W750809733 date "1994-01-01" @default.
- W750809733 modified "2023-09-28" @default.
- W750809733 title "Counter-examples and dual operator algebras with properties $(A_{m,n})$" @default.
- W750809733 hasPublicationYear "1994" @default.
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