The eigenvalues of non-singular transformations

Jon Aaronson

doi:10.1007/BF02804014

The eigenvalues of non-singular transformations

Jon Aaronson^*

^*Corresponding author for this work

School of Mathematical Sciences

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

13 Scopus citations

Abstract

The eigenvalues of a non-singular conservative ergodic transformation of a separable measure space form a Borel subgroup of the circle of measure zero. We show that this is the only metric restriction on their size. However, the larger the eigenvalue group of the transformation, the "less recurrent" it is.

Original language	English
Pages (from-to)	297-312
Number of pages	16
Journal	Israel Journal of Mathematics
Volume	45
Issue number	4
DOIs	https://doi.org/10.1007/BF02804014
State	Published - Dec 1983

Access to Document

10.1007/BF02804014

Cite this

@article{191480320e0a463d8c8f08dcac74b42b,

title = "The eigenvalues of non-singular transformations",

abstract = "The eigenvalues of a non-singular conservative ergodic transformation of a separable measure space form a Borel subgroup of the circle of measure zero. We show that this is the only metric restriction on their size. However, the larger the eigenvalue group of the transformation, the {"}less recurrent{"} it is.",

author = "Jon Aaronson",

year = "1983",

month = dec,

doi = "10.1007/BF02804014",

language = "אנגלית",

volume = "45",

pages = "297--312",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - The eigenvalues of non-singular transformations

AU - Aaronson, Jon

PY - 1983/12

Y1 - 1983/12

N2 - The eigenvalues of a non-singular conservative ergodic transformation of a separable measure space form a Borel subgroup of the circle of measure zero. We show that this is the only metric restriction on their size. However, the larger the eigenvalue group of the transformation, the "less recurrent" it is.

AB - The eigenvalues of a non-singular conservative ergodic transformation of a separable measure space form a Borel subgroup of the circle of measure zero. We show that this is the only metric restriction on their size. However, the larger the eigenvalue group of the transformation, the "less recurrent" it is.

UR - http://www.scopus.com/inward/record.url?scp=51249184171&partnerID=8YFLogxK

U2 - 10.1007/BF02804014

DO - 10.1007/BF02804014

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:51249184171

SN - 0021-2172

VL - 45

SP - 297

EP - 312

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 4

ER -

The eigenvalues of non-singular transformations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this