DOUBLE COMMUTANTS OF ISOMETRIES
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- TURNER T. ROLF
- UNIVERSITY OF ALBERTA
Abstract
Normal operators N satisfying \[{\mathfrak{A}_N} = {\mathfrak{A}''_N}\] are characterized in terms of invariant subspaces. It is shown that non-unitary isometries V always satisfy \[{\mathfrak{A}_V} = {\mathfrak{A}''_V}\]. Thus, since a unitary operator is normal, a complete description of isometries satisfying a double commutant theorem is achieved.
Journal
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- Tohoku Mathematical Journal, Second Series
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Tohoku Mathematical Journal, Second Series 24 (4), 547-549, 1972
Mathematical Institute, Tohoku University
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Details 詳細情報について
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- CRID
- 1390282680091633536
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- NII Article ID
- 130001493008
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- ISSN
- 2186585X
- 00408735
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- MRID
- 322560
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed