Non-commutative Lp-spaces〔和文〕 (作用表環論の進展)

By 泉英明. 2000

160 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/06670d8af0394fba0f21e6f96cc2d68a67a1a133

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Citations in the corpus

Noncommutative maximal ergodic inequalities associated with doubling conditions (2017, methodology): “We refer to [PX03] for more information on noncommutative Lp-spaces.”
Tensor Products of C*-Algebras and Operator Spaces (2020, background): “We refer the reader to [216] for more information in that direction.”
Operator-Lipschitz functions in Schatten–von Neumann classes (2009, background): “It was proved in [1] that if X is a Banach space with UMD property (see [16] for the relevant definitions) and if h ∈ L2([0, 1], X) (= the space of all Bochner square integrable functions on [0, 1] with values in X), then the linear”
Grothendieck's Theorem, past and present (2011, background): “The space Lp(M, τ ) or simply Lp(τ ) can then be described as a complex interpolation space (see [130]); i.”
Structure of derivations on various algebras of measurable operators for type I von Neumann algebras (2008, background): “It should be noted that the algebra of τ -compact operators were considered by Yeadon [21] and Fack and Kosaki [7] and one of the original definitions was the following: an operator x ∈ S(M, τ) is said to be τ -compact if”
Second order asymptotics for matrix models (2006, unknown): “Now, by non-commutative Hölder’s inequality (see for example [21]), [μ̂ (PP ∗)]2 6 max 16i6m μ̂ (X i ) so that we obtain the bound μV [δ̂ N (P )(4)] 6 2(4)N(4) max 16i6m μ (X i ).”
The dimension-free structure of nonhomogeneous random matrices (2017, background): “This powerful estimate makes no assumption whatsoever on the covariance structure of the matrix entries; consequently, this result and its generalizations have had a major impact in noncommutative probability [14] as well as in applied mathematics [17].”
Kato's square root problem in Banach spaces (2007, background): “See [38] for the definition, more information and references.”
Singular integrals in quantum Euclidean spaces (2017, unknown): “Consider the trace determined by τΘ(λΘ(f)) = f(0) and the corresponding Lp spaces Lp(RΘ, τΘ) [62].”
Spectral shift function of higher order (2009, background): “, [2,21] and references cited therein for basic definitions and facts).”