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Showing 1 to 6 of 6 for “"semifinite"”.
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A Beurling Theorem for Noncommutative Hardy Spaces Associated with a Semifinite von Neumann Algebra with Various Norms
… theorems for H-invariant spaces in relation to a semifinite von Neu-mann algebra M with a semifinite, faithful, normal tracial weight τ, using an extension of Arveson’s non-commutative Hardy space H-. First we prove a Beurling-Blecher-Labuschagne theorem for H-invariant subspaces of L p …
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Aspects of duality theory for spaces of measurable operators
… functions. If the von Neumann algebra is semifinite, then there exists a faithful semifinite normal trace on it. Equipped with such a trace, a topology can be defined on the algebra, which in the commutative case is the familiar topology of convergence in measure. The completion of the …
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Εργοδικά θεωρήματα σε von Neumann άλγεβρες και εργοδικά θεωρήματα για τυχαία σύνολα σε χώρους Banach
… M be von Neumann algebra with a faithful normal semifinite weight and a semigroup of kernels on it. In paragraph 2 maximal ergodic theorems are given for additive and strongly superadditive processes, one dimensional or multidimensional. In paragraph 3 we deal with continuous parameter …
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Jordan homomorphisms and derivations on algebras of measurable operators
… Let M be a von Neumann algebra with a faithful semifinite normal trace τ , and M~ the algebra of τ-measurable operators (measurable for short) affiliated with M. The algebra M~ can be endowed with a topology Уcm, called the topology of convergence in measure, such that M~ becomes a complete …
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Ideals in von Neumann algebras and in associated operator algebras
… compact ideal. Finally, in the case of a semifinite von Neumann algebra equipped with a faithful semifinite normal trace T, we generalise the characterisation of the compact operators given in terms of the singular value sequence, by showing that the ideal of T-measurable operators whose …
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Aspects of spectral theory for algebras of measurable operators
… algebras. The emphasis in this thesis is on a semifinite von Neumann algebra M equipped with a semi-finite faithful normal trace τ and the corresponding algebra M~ of τ-measurable operators.