RUC-decompositions in symmetric operator spaces

P. G. Dodds; F. A. Sukochev

doi:10.1007/BF01320701

RUC-decompositions in symmetric operator spaces

P. G. Dodds
, F. A. Sukochev

College of Science and Engineering

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

8 Citations (Scopus)

Abstract

We show that if X is a Banach space of type 2 and G is a compact Abelian group, then any system of eigenvectors {x_γ}γ∈Ĝ (with respect to a strongly continuous representation of G on X) is an RUC-system. As an application, we exhibit new examples of RUC-bases in certain symmetric spaces of measurable operators.

Original language	English
Pages (from-to)	269-287
Number of pages	19
Journal	Integral Equations and Operator Theory
Volume	29
Issue number	3
DOIs	https://doi.org/10.1007/BF01320701
Publication status	Published - Sept 1997

Access to Document

10.1007/BF01320701Licence: In Copyright

Cite this

@article{01bc186f717d4b24821fb55d528139b0,

title = "RUC-decompositions in symmetric operator spaces",

abstract = "We show that if X is a Banach space of type 2 and G is a compact Abelian group, then any system of eigenvectors \{xγ\}γ∈Ĝ (with respect to a strongly continuous representation of G on X) is an RUC-system. As an application, we exhibit new examples of RUC-bases in certain symmetric spaces of measurable operators.",

author = "Dodds, \{P. G.\} and Sukochev, \{F. A.\}",

year = "1997",

month = sep,

doi = "10.1007/BF01320701",

language = "English",

volume = "29",

pages = "269--287",

journal = "Integral Equations and Operator Theory",

issn = "0378-620X",

publisher = "Springer International Publishing",

number = "3",

}

TY - JOUR

T1 - RUC-decompositions in symmetric operator spaces

AU - Dodds, P. G.

AU - Sukochev, F. A.

PY - 1997/9

Y1 - 1997/9

N2 - We show that if X is a Banach space of type 2 and G is a compact Abelian group, then any system of eigenvectors {xγ}γ∈Ĝ (with respect to a strongly continuous representation of G on X) is an RUC-system. As an application, we exhibit new examples of RUC-bases in certain symmetric spaces of measurable operators.

AB - We show that if X is a Banach space of type 2 and G is a compact Abelian group, then any system of eigenvectors {xγ}γ∈Ĝ (with respect to a strongly continuous representation of G on X) is an RUC-system. As an application, we exhibit new examples of RUC-bases in certain symmetric spaces of measurable operators.

UR - https://www.scopus.com/pages/publications/0031447241

U2 - 10.1007/BF01320701

DO - 10.1007/BF01320701

M3 - Article

AN - SCOPUS:0031447241

SN - 0378-620X

VL - 29

SP - 269

EP - 287

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 3

ER -

RUC-decompositions in symmetric operator spaces

Abstract

Access to Document

Other files and links

Fingerprint

Cite this