The strong "zero-two" law for positive contractions of Banach-Kantorovich Lp -lattices

Inomjon Ganiev; Farrukh Mukhamedov; Dilmurod Bekbaev

doi:10.3906/mat-1501-74

The strong "zero-two" law for positive contractions of Banach-Kantorovich L_p -lattices

Inomjon Ganiev, Farrukh Mukhamedov, Dilmurod Bekbaev

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

3 Citations (Scopus)

Abstract

In the present paper we study dominated operators acting on Banach-Kantorovich L_p -lattices, constructed by a measure m with values in the ring of all measurable functions. Using methods of measurable bundles of Banach- Kantorovich lattices, we prove the strong "zero-two" law for positive contractions of Banach-Kantorovich L_p -lattices.

Original language	English
Pages (from-to)	583-594
Number of pages	12
Journal	Turkish Journal of Mathematics
Volume	39
Issue number	4
DOIs	https://doi.org/10.3906/mat-1501-74
Publication status	Published - 2015
Externally published	Yes

Keywords

Banach-kantorovich L -lattice
Dominated operator
Positive contraction
Strong "zero-two" law

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.3906/mat-1501-74

Cite this

@article{fec9138e4d0d46ac91a7cfded94b1212,

title = "The strong {"}zero-two{"} law for positive contractions of Banach-Kantorovich Lp -lattices",

abstract = "In the present paper we study dominated operators acting on Banach-Kantorovich Lp -lattices, constructed by a measure m with values in the ring of all measurable functions. Using methods of measurable bundles of Banach- Kantorovich lattices, we prove the strong {"}zero-two{"} law for positive contractions of Banach-Kantorovich Lp -lattices.",

keywords = "Banach-kantorovich L -lattice, Dominated operator, Positive contraction, Strong {"}zero-two{"} law",

author = "Inomjon Ganiev and Farrukh Mukhamedov and Dilmurod Bekbaev",

note = "Publisher Copyright: {\textcopyright} T{\"u}bi˙tak.",

year = "2015",

doi = "10.3906/mat-1501-74",

language = "English",

volume = "39",

pages = "583--594",

journal = "Turkish Journal of Mathematics",

issn = "1300-0098",

publisher = "TUBITAK",

number = "4",

}

TY - JOUR

T1 - The strong "zero-two" law for positive contractions of Banach-Kantorovich Lp -lattices

AU - Ganiev, Inomjon

AU - Mukhamedov, Farrukh

AU - Bekbaev, Dilmurod

N1 - Publisher Copyright: © Tübi˙tak.

PY - 2015

Y1 - 2015

N2 - In the present paper we study dominated operators acting on Banach-Kantorovich Lp -lattices, constructed by a measure m with values in the ring of all measurable functions. Using methods of measurable bundles of Banach- Kantorovich lattices, we prove the strong "zero-two" law for positive contractions of Banach-Kantorovich Lp -lattices.

AB - In the present paper we study dominated operators acting on Banach-Kantorovich Lp -lattices, constructed by a measure m with values in the ring of all measurable functions. Using methods of measurable bundles of Banach- Kantorovich lattices, we prove the strong "zero-two" law for positive contractions of Banach-Kantorovich Lp -lattices.

KW - Banach-kantorovich L -lattice

KW - Dominated operator

KW - Positive contraction

KW - Strong "zero-two" law

UR - http://www.scopus.com/inward/record.url?scp=84934783426&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84934783426&partnerID=8YFLogxK

U2 - 10.3906/mat-1501-74

DO - 10.3906/mat-1501-74

M3 - Article

AN - SCOPUS:84934783426

SN - 1300-0098

VL - 39

SP - 583

EP - 594

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

IS - 4

ER -