A remark on ergodicity of quantum markovian semigroups

Chul Ki Ko

doi:10.4134/CKMS.2009.24.1.099

A remark on ergodicity of quantum markovian semigroups

Chul Ki Ko

University College

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

Abstract

The aim of this paper is to find the set of the fixed elements and the set of elements for which equality holds in Schwarz inequality for the KMS-symmetric Markovian semigroup {S_t}_t≥0 given in [10]. As an application, we study some properties such as the ergodicity and the asymptotic behavior of the semigroup.

Original language	English
Pages (from-to)	99-109
Number of pages	11
Journal	Communications of the Korean Mathematical Society
Volume	24
Issue number	1
DOIs	https://doi.org/10.4134/CKMS.2009.24.1.099
Publication status	Published - 2009

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Access to Document

10.4134/CKMS.2009.24.1.099

Cite this

@article{ca428e7030884ae88721fe86c5525108,

title = "A remark on ergodicity of quantum markovian semigroups",

abstract = "The aim of this paper is to find the set of the fixed elements and the set of elements for which equality holds in Schwarz inequality for the KMS-symmetric Markovian semigroup {St}t≥0 given in [10]. As an application, we study some properties such as the ergodicity and the asymptotic behavior of the semigroup.",

keywords = "Ergodicity, Quantum Markovian semigroups",

author = "Ko, {Chul Ki}",

year = "2009",

doi = "10.4134/CKMS.2009.24.1.099",

language = "English",

volume = "24",

pages = "99--109",

journal = "Communications of the Korean Mathematical Society",

issn = "1225-1763",

publisher = "Korean Mathematical Society",

number = "1",

}

TY - JOUR

T1 - A remark on ergodicity of quantum markovian semigroups

AU - Ko, Chul Ki

PY - 2009

Y1 - 2009

N2 - The aim of this paper is to find the set of the fixed elements and the set of elements for which equality holds in Schwarz inequality for the KMS-symmetric Markovian semigroup {St}t≥0 given in [10]. As an application, we study some properties such as the ergodicity and the asymptotic behavior of the semigroup.

AB - The aim of this paper is to find the set of the fixed elements and the set of elements for which equality holds in Schwarz inequality for the KMS-symmetric Markovian semigroup {St}t≥0 given in [10]. As an application, we study some properties such as the ergodicity and the asymptotic behavior of the semigroup.

KW - Ergodicity

KW - Quantum Markovian semigroups

UR - http://www.scopus.com/inward/record.url?scp=77749315476&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77749315476&partnerID=8YFLogxK

U2 - 10.4134/CKMS.2009.24.1.099

DO - 10.4134/CKMS.2009.24.1.099

M3 - Article

AN - SCOPUS:77749315476

SN - 1225-1763

VL - 24

SP - 99

EP - 109

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 1

ER -

A remark on ergodicity of quantum markovian semigroups

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this