整洁漂亮
发表于 2025-3-23 10:26:32
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pineal-gland
发表于 2025-3-23 13:58:24
Tomita—Takesaki Theory in Partial O*-Algebraszed vectors for a partial GW*-algebra. Section 5.6 deals with some particular cases of standard or modular generalized vectors for partial O*-algebras (generalized vectors associated to individual vectors (Section 5.6.1);
过分
发表于 2025-3-23 18:11:52
*-Representations of Partial *-AlgebrasSqabaaaaa!42DC!]]</EquationSource><EquationSource Format="TEX"><![CDATA[$${pi _{{E_M}}}$$ and their self-adjointness. Section 7.5 deals with the unitary equivalence of *-representations of a partial *-algebra and the spatiality of *-automorphisms of a partial O*-algebra.
友好
发表于 2025-3-23 22:42:18
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粗糙
发表于 2025-3-24 04:28:47
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合法
发表于 2025-3-24 08:05:32
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宫殿般
发表于 2025-3-24 13:06:32
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透明
发表于 2025-3-24 17:54:19
Book 2002bounded operators (O.*.-algebras), mostly developed by the Leipzig school and in Japan (for a review, we refer to the monographs of K. Schmüdgen and A. Inoue ). This volume goes one step further, by considering systematically partial .*.-algebras of unbounded operators (partial O.*.-alg
savage
发表于 2025-3-24 19:02:49
Physical Applicationsis a detailed study of automorphisms and derivations of partial *-algebras. Then we consider some applications of quasi *-algebras to local (or quasi-local) quantum theories, such as quantum field theory (Wightman fields) or Quantum Statistical Mechanics (spin systems, Bose gases).
Anecdote
发表于 2025-3-25 00:09:24
Partial *-Algebras*-algebras (Section 6.2.2), and CQ *-algebras (Section 6.2.3). We also describe in detail a series of concrete examples, which are of two types, partial *-algebras of functions (Section 6.3.1) or partial *-algebras of operators on lattices of Hilbert spaces (Section 6.3.2). Representation theory will be covered in the subsequent chapters.