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Cyclic Generalized Vectors for Algebras of Unbounded Operators
Author(s) -
Atsushi Inoue,
W. Karwowski
Publication year - 1994
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195165790
Subject(s) - mathematics , vector space , linear subspace , pure mathematics , algebra over a field , operator algebra , centralizer and normalizer , class (philosophy) , non associative algebra , nest algebra , context (archaeology) , invariant (physics) , field (mathematics) , universal enveloping algebra , computer science , paleontology , biology , artificial intelligence , mathematical physics
Algebras of unbounded operators called 0* -algebras appear in rather broad pure mathematical context (operator theory, topological *-algebras, representations of Lie algebras etc.) and the physical applications (the Wightman quantum field theory, unbounded CCR-algebras, quantum groups etc.)- This motivated systematic studies carried on for about three decades.

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