Generalized Shannon inequalities based on Tsallis relative operator entropy

Linear Algebra and its Applications Volume 394 Page 109-118

published_at 2005-01-01

2007010012.pdf

[fulltext] 145 KB

Title

Generalized Shannon inequalities based on Tsallis relative operator entropy

Creators Yanagi Kenjiro

Creators Kuriyama Ken

Creators Furuichi Shigeru

Creator Keywords

Operator inequality Tsallis relative operator entropy Shannon inequality

Tsallis relative operator entropy is defined and then its properties are given. Shannon inequality and its reverse one in Hilbert space operators derived by Furuta [Linear Algebra Appl. 381 (2004) 219] are extended in terms of the parameter of the Tsallis relative operator entropy. Moreover the generalized Tsallis relative operator entropy is introduced and then several operator inequalities are derived.

Languages eng

Resource Type journal article

Publishers Elsevier

Date Issued 2005-01-01

File Version Author’s Original

Access Rights open access

Relations

[ISSN]0024-3794

[NCID]AA00717292

https://doi.org/10.1016/j.laa.2004.06.025

[isVersionOf] [URI]http://www.sciencedirect.com/science/journal/00243795

Schools 大学院理工学研究科（工学）