Title of article
Generators of von Neumann algebras associated with spectral measures
Author/Authors
Smirnov، نويسنده , , A.G.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2013
Pages
7
From page
501
To page
507
Abstract
Let P E be the set of all values of a spectral measure E and A ( P E ) be the smallest von Neumann algebra containing P E . We give a simple description of all sets of generators of A ( P E ) in terms of the integrals with respect to E . The treatment covers not only the case of generators belonging to A ( P E ) , but also the case of (possibly unbounded) generators affiliated with this algebra.
Keywords
Spectral measure , von Neumann algebra
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2013
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563243
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