Measure of the Banach Limit on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\boldsymbol{L}_{\boldsymbol{\infty}}\boldsymbol{(\mathbb{R})}$$\end{document}

被引：0

作者：

V. A. Glazatov ^{[1
]}

机构：

[1] Keldysh Institute of Applied Mathematics,

[2] Russian Academy of Sciences,undefined

[3] Moscow Institute of Physics and Technology,undefined

来源：

Lobachevskii Journal of Mathematics | 2024年 / 45卷 / 6期

关键词：

invariant measure; finitely additive measure; A. Weil’s theorem; Koopman representation; Banach limit;

D O I：

10.1134/S1995080224603138

中图分类号：

学科分类号：

摘要：

引用

页码：2495 / 2501

页数：6

共 18 条

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[2]

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[3]

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[4]

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[5]

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[6]

Usachev A. S.(2023)Direct limit of shift-invariant measures on a Hilbert space Lobachevskii J. Math. 44 1998-2006

[7]

Zavadsky D. V.(2019)Hamiltonian Feynman measures, Kolmogorov integral and infinite-dimensional pseudodifferential operators Dokl. Akad. Nauk 488 243-247

[8]

Smolyanov O. G.(2020)Sobolev spaces of functions on a Hilbert space with a translation invariant measure and approximations of semigroups Izv. Math. 84 694-721

[9]

Shamarov N. N.(2018)Hamiltonian approach to secondary quantization Dokl. Math. 98 571-574

[10]

Busovikov V. M.(1980)Factorization of summability-preserving generalized limits J. London Math. Soc. 22 398-402

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