Local Ergodic Theorems in Symmetric Spaces of Measurable Operators

Vladimir Chilin; Semyon Litvinov

doi:10.1007/s00020-019-2519-1

Local Ergodic Theorems in Symmetric Spaces of Measurable Operators

Vladimir Chilin
, Semyon Litvinov

Penn State Hazleton

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Local mean and individual (with respect to almost uniform convergence in Egorov’s sense) ergodic theorems are established for actions of the semigroup R+d in symmetric spaces of measurable operators associated with a semifinite von Neumann algebra.

Original language	English (US)
Article number	15
Journal	Integral Equations and Operator Theory
Volume	91
Issue number	2
DOIs	https://doi.org/10.1007/s00020-019-2519-1
State	Published - Apr 1 2019

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory

Access to Document

10.1007/s00020-019-2519-1

Cite this

@article{6c2f0b7b234d4649a32b52e8d0acab55,

title = "Local Ergodic Theorems in Symmetric Spaces of Measurable Operators",

abstract = "Local mean and individual (with respect to almost uniform convergence in Egorov{\textquoteright}s sense) ergodic theorems are established for actions of the semigroup R+d in symmetric spaces of measurable operators associated with a semifinite von Neumann algebra.",

author = "Vladimir Chilin and Semyon Litvinov",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",

year = "2019",

month = apr,

day = "1",

doi = "10.1007/s00020-019-2519-1",

language = "English (US)",

volume = "91",

journal = "Integral Equations and Operator Theory",

issn = "0378-620X",

publisher = "Springer International Publishing",

number = "2",

}

TY - JOUR

T1 - Local Ergodic Theorems in Symmetric Spaces of Measurable Operators

AU - Chilin, Vladimir

AU - Litvinov, Semyon

PY - 2019/4/1

Y1 - 2019/4/1

N2 - Local mean and individual (with respect to almost uniform convergence in Egorov’s sense) ergodic theorems are established for actions of the semigroup R+d in symmetric spaces of measurable operators associated with a semifinite von Neumann algebra.

AB - Local mean and individual (with respect to almost uniform convergence in Egorov’s sense) ergodic theorems are established for actions of the semigroup R+d in symmetric spaces of measurable operators associated with a semifinite von Neumann algebra.

UR - https://www.scopus.com/pages/publications/85064044098

UR - https://www.scopus.com/pages/publications/85064044098#tab=citedBy

U2 - 10.1007/s00020-019-2519-1

DO - 10.1007/s00020-019-2519-1

M3 - Article

AN - SCOPUS:85064044098

SN - 0378-620X

VL - 91

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 2

M1 - 15

ER -

Local Ergodic Theorems in Symmetric Spaces of Measurable Operators

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this