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Notations and Preliminaries

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Multilinear Operator Integrals

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2250))

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Abstract

In this chapter we recall major concepts from function spaces, theory of linear operators, ideals in von Neumann algebras and continuous traces, noncommutative Lp-spaces, Banach space theory, and approximation theory that are involved in our discussion of multiple operator integration and its applications. We also supply references to a systematic treatment of these concepts.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM, USA

    Anna Skripka

  2. School of Computer Science and Engineering, Inha University in Tashkent, Tashkent, Uzbekistan

    Anna Tomskova

Authors
  1. Anna Skripka
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  2. Anna Tomskova
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Skripka, A., Tomskova, A. (2019). Notations and Preliminaries. In: Multilinear Operator Integrals. Lecture Notes in Mathematics, vol 2250. Springer, Cham. https://doi.org/10.1007/978-3-030-32406-3_2

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