On the Continuity of the Support of Bimodules over Maximal Abelian Self-Adjoint Algebras
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 93-95
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We relate the convergence of a net of maximal Abelian selfadjoint algebras (masas) to that of the net of their corresponding supports. This is achieved by using a family of capacities on the collection of subsets of $X\times Y$ (where the masas are realized as collections of operators of multiplication by essentially bounded functions on the measure spaces $X$ and $Y$), which extends a capacity studied previously by Haydon and Shulman.
Keywords:
capacity, maximal Abelian self-adjoint algebra.
Mots-clés : convergence, bimodule
Mots-clés : convergence, bimodule
@article{FAA_2008_42_3_a12,
author = {J. L. Habgood and I. G. Todorov},
title = {On the {Continuity} of the {Support} of {Bimodules} over {Maximal} {Abelian} {Self-Adjoint} {Algebras}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {93--95},
year = {2008},
volume = {42},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2008_42_3_a12/}
}
TY - JOUR AU - J. L. Habgood AU - I. G. Todorov TI - On the Continuity of the Support of Bimodules over Maximal Abelian Self-Adjoint Algebras JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 2008 SP - 93 EP - 95 VL - 42 IS - 3 UR - http://geodesic.mathdoc.fr/item/FAA_2008_42_3_a12/ LA - ru ID - FAA_2008_42_3_a12 ER -
J. L. Habgood; I. G. Todorov. On the Continuity of the Support of Bimodules over Maximal Abelian Self-Adjoint Algebras. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 93-95. http://geodesic.mathdoc.fr/item/FAA_2008_42_3_a12/
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