Cyclic generalized vectors for algebras of unbounded operators
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Publication:1346669
DOI10.2977/prims/1195165790zbMath0836.47036OpenAlexW1974579190MaRDI QIDQ1346669
Witold Karwowski, Atsushi Inoue
Publication date: 10 April 1995
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1195165790
observable algebrasexistence of cyclic vectorsextended Tomita-Takesaki theorygeneralized vectorsunbounded operator algebras in Hilbert spaceweights on \(O^*\) algebras
Related Items (5)
Admissibility of Weights on Non-normed $*$-Algebras ⋮ Standard systems for semifinite O$^{*}$-algebras ⋮ Unnamed Item ⋮ Standard generalized vectors and \({}^*\)-automorphism groups of partial \(O^*\)-algebras ⋮ Unnamed Item
Cites Work
- An unbounded generalization of the Tomita-Takesaki theory
- Algebras of unbounded operators and quantum dynamics
- An unbounded generalization of the Tomita-Takesaki theory. II
- Extension of Tomita-Takesaki theory to the unbounded algebra of the canonical commutation relations
- Normal weights on \(W^*\)-algebras
- The order structure of topological \(^*\)-algebras of unbounded operators. I
- A bounded operator approach to Tomita-Takesaki theory
- Unbounded representations of \(^*\)-algebras
- Tomita's theory of modular Hilbert algebras and its applications
- Self-adjoint algebras of unbounded operators
- Topological algebras of operators
- Modular structure of algebras of unbounded operators
- Extensions of Unbounded Representations
- Invariant Subspaces for Closed ∗-Representations of ∗-Algebras
- A Noncommutative Probability Theory
- Modular systems induced by trace functionals on algebras of unbounded operators
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