A note on dominant contractions of Jordan algebras

Farrukh Mukhamedov; Seyit Temir; Hasan Akin

doi:10.3906/mat-0810-24

A note on dominant contractions of Jordan algebras

Farrukh Mukhamedov, Seyit Temir, Hasan Akin

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

6 Citations (Scopus)

Abstract

We consider two positive contractions T, S: L₁(A, τ) -→ L₁(A, τ) such that T ≤ S, here (A, τ) is a semi-finite JBW-algebra. If there is an n₀ ∈ N{double-struck} such that ||Sⁿ⁰ - Tⁿ⁰|| < 1, we prove that ||Sⁿ - Tⁿ|| < 1 holds for every n ≥ n₀.

Original language	English
Pages (from-to)	85-94
Number of pages	10
Journal	Turkish Journal of Mathematics
Volume	34
Issue number	1
DOIs	https://doi.org/10.3906/mat-0810-24
Publication status	Published - Mar 2010
Externally published	Yes

Keywords

Dominant contraction
Jordan algebra
Positive operator

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.3906/mat-0810-24

Cite this

@article{ab96bb2e0f5a4957b64b8b3c40e6acbf,

title = "A note on dominant contractions of Jordan algebras",

abstract = "We consider two positive contractions T, S: L1(A, τ) -→ L1(A, τ) such that T ≤ S, here (A, τ) is a semi-finite JBW-algebra. If there is an n0 ∈ N{double-struck} such that ||Sn0 - Tn0|| < 1, we prove that ||Sn - Tn|| < 1 holds for every n ≥ n0.",

keywords = "Dominant contraction, Jordan algebra, Positive operator",

author = "Farrukh Mukhamedov and Seyit Temir and Hasan Akin",

year = "2010",

month = mar,

doi = "10.3906/mat-0810-24",

language = "English",

volume = "34",

pages = "85--94",

journal = "Turkish Journal of Mathematics",

issn = "1300-0098",

publisher = "TUBITAK",

number = "1",

}

TY - JOUR

T1 - A note on dominant contractions of Jordan algebras

AU - Mukhamedov, Farrukh

AU - Temir, Seyit

AU - Akin, Hasan

PY - 2010/3

Y1 - 2010/3

N2 - We consider two positive contractions T, S: L1(A, τ) -→ L1(A, τ) such that T ≤ S, here (A, τ) is a semi-finite JBW-algebra. If there is an n0 ∈ N{double-struck} such that ||Sn0 - Tn0|| < 1, we prove that ||Sn - Tn|| < 1 holds for every n ≥ n0.

AB - We consider two positive contractions T, S: L1(A, τ) -→ L1(A, τ) such that T ≤ S, here (A, τ) is a semi-finite JBW-algebra. If there is an n0 ∈ N{double-struck} such that ||Sn0 - Tn0|| < 1, we prove that ||Sn - Tn|| < 1 holds for every n ≥ n0.

KW - Dominant contraction

KW - Jordan algebra

KW - Positive operator

UR - http://www.scopus.com/inward/record.url?scp=77955580875&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955580875&partnerID=8YFLogxK

U2 - 10.3906/mat-0810-24

DO - 10.3906/mat-0810-24

M3 - Article

AN - SCOPUS:77955580875

SN - 1300-0098

VL - 34

SP - 85

EP - 94

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

IS - 1

ER -

A note on dominant contractions of Jordan algebras

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this