Theory of operator algebras

By 竹崎 正道. 2002

2,347 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/1e62c0981be47dc965d69c891cc3d0d5b9245b77

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. W. Winter
2. Gilles Pisier
3. Nathanial P. Brown Narutaka Ozawa
4. Marius Junge
5. Quanhua Xu
6. G'abor Szab'o
7. Matthew Daws
8. Ilijas Farah

In Applied Mathematics

1. Javier Parcet
2. Marius Junge
3. Gilles Pisier
4. Quanhua Xu
5. Narcisse Randrianantoanina
6. Tao Mei
7. Uffe Haagerup
8. Hanfeng Li

In Computational Theory and Mathematics

1. Gilles Pisier
2. Javier Parcet
3. Marius Junge
4. W. Winter
5. Tao Mei
6. D. Harlow
7. Yusuke Isono
8. Alexander Teplyaev

Citations in the corpus

• The uniqueness of the dual of Weyl-Heisenberg subspace frames (2004, background): “5 in [27]), there is a non-zero V ∈ M′ such thatV ∗V is a subprojection of P andV V ∗ is a subprojection of P ⊥.”
• Pseudo-localization of singular integrals and noncommutative Calderon-Zygmund theory (2007, result): “We refer to [32, 55] for a systematic study of von Neumann algebras and to the recent survey by Pisier/Xu [48] for a detailed exposition of noncommutative Lp spaces.”
• POSITIVE POLYNOMIALS IN SCALAR AND MATRIX VARIABLES, THE SPECTRAL THEOREM AND OPTIMIZATION (2006, background): “We do not explain below the standard terminology related to von Neumann algebras, see for instance [Tak02].”
• Nonsmooth differential geometry - An approach tailored for spaces with Ricci curvature bounded from below (2014, background): “11 is that it shows that a posteriori the theory of separable Hilbert modules and that of direct integral of Hilbert spaces (a concept generalizing that of direct sum to a ‘continuous family of indexes’ - we refer to [55] for an overview of this topic and detailed bibliography) are tightly linked.”
• Structure of derivations on various algebras of measurable operators for type I von Neumann algebras (2008, background): “It is known [20] that given a type I von Neumann algebra M there exists a unique (cardinal-indexed) family of central orthogonal projections (qα)α∈J in P (M) with ∑”
• Gundy's Decomposition for Non‐Commutative Martingales and Applications (2004, background): “Our notation and terminology are standard as may be found in the books [19] and [29].”