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Functional Analytic Background for a Theory of Infinite-Dimensional Reductive Lie Groups

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Developments and Trends in Infinite-Dimensional Lie Theory

Part of the book series: Progress in Mathematics ((PM,volume 288))

Summary

Motivated by the interesting and yet scattered developments in representation theory of Banach–Lie groups, we discuss several functional analytic issues which should underlie the notion of infinite-dimensional reductive Lie group: norm ideals, triangular integrals, operator factorizations, and amenability

2000 Mathematics Subject Classifications: Primary 22E65. Secondary 22E46, 47B10, 47L20, 58B25.

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Authors and Affiliations

  1. Institute of Mathematics “Simion Stoilow” of the Romanian Academy, 1-764, RO-014700, Bucharest, Romania

    Daniel Beltiţă

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  1. Daniel Beltiţă
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Correspondence to Daniel Beltiţă .

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  1. Friedrich-Alexander-Universität Erlangen, Department of Mathematics, Bismarckstrasse 1 1/2, Erlangen, 91054, Germany

    Karl-Hermann Neeb

  2. University of Alberta, Department of Mathematical Sciences, Edmonton, T6G 2G1, Alberta, Canada

    Arturo Pianzola

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Beltiţă, D. (2011). Functional Analytic Background for a Theory of Infinite-Dimensional Reductive Lie Groups. In: Neeb, KH., Pianzola, A. (eds) Developments and Trends in Infinite-Dimensional Lie Theory. Progress in Mathematics, vol 288. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4741-4_11

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