Some operator ideals in non-commutative functional analysis

DOI10.4171/ZAA/849zbMath0921.47041arXivfunct-an/9709005OpenAlexW1983739582MaRDI QIDQ1267980

Francesco Fidaleo

Publication date: 14 October 1998

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9709005

zbMATH Keywords

quantum field theorySchatten classesBanach operator ideals\(W^*\)-algebras\(p\)-nuclear mapscategory of operator spacesclasses of linear maps between operator spacesnon-commutative (quantized) functional analysisPisier vector-valued non-commutative \(L^p\)-spaces

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Abstract operator algebras on Hilbert spaces (47L30) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Classifications of (C^*)-algebras (46L35) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Linear spaces of operators (47L05) Operator ideals (47L20)

Related Items (2)

Canonical operator space structures on non-commutative \(L^p\) spaces ⋮ On the split property for inclusions of $W^{*}$-algebras

Cites Work

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