Non-Commutative Koethe Duality

机译：非交换的Koethe二元性

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摘要

Using techniques drawn from the classical theory of rearrangement invariantBanach function spaces a duality theory in the sense of Koethe for symmetric Banach spaces of measurable operators affiliated with a semifinite von Neumann algebra equipped with a distinguished trace is developed. The Koethe dual of a given Banach space of measurable operators in terms of normality is identified.

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Dodds, P. G.; Dodds, T. K.; Depagter, B.;
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年度 1990
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总页数 64
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Banach space; Duality principle; Harmonic analysis; Neumann problem; Dualitytheorem; Algebra; Homology; Mathematical models; Metric space; Network analysis;

机译：Banach空间;对偶原理;调和分析; Neumann问题;对偶定理;代数;同调;数学模型;度量空间;网络分析;

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专利

1. 左强非奇环与Koethe猜想 [J] . 王宪昌数学季刊：英文版 . 1991,第003期
2. On a Property of Rearrangement Invariant Spaces whose Second Koethe Dual is Nonseparable [J] . S. V. Astashkin, E. M. Semenov Mathematical notes . 2020,第1a2期

机译：在重新安排不变的空间的属性上，其第二koethe双重是不可分割的
3. Duality between non-commutative Yang-Mills-Chem-Simons and non-Abelian self-dual models [J] . Cantcheff MB., Minces P. Physics Letters, B. Nuclear Physics and High Energy Physics . 2003,第3a4期

机译：非交换Yang-Mills-Chem-Simons与非阿贝尔自对偶模型之间的对偶
4. General non-commutative locally compact locally Hausdorff Stone duality [J] . Bice Tristan, Starling Charles Advances in Mathematics . 2019,第期

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6. Non-Commutative Harmonic and Subharmonic Polynomials and Other Non-Commutative Partial Differential Equations [D] . Nelson, Christopher Scott 2012

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8. Non-Commutative Oscillators and Cavity-Induced Atom Cooling (Non-Commutative Analysis and Micro-Macro Duality) [O] . 廣川真男 2009

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Non-Commutative Koethe Duality

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