Standard

Geometric properties of systems of vector states and expansion of states in pettis integrals. / Amosov, G. G.; Sakbaev, V. Zh.

In: St. Petersburg Mathematical Journal, Vol. 27, No. 4, 01.01.2016, p. 589-597.

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

Harvard

Amosov, GG & Sakbaev, VZ 2016, 'Geometric properties of systems of vector states and expansion of states in pettis integrals', St. Petersburg Mathematical Journal, vol. 27, no. 4, pp. 589-597. https://doi.org/10.1090/spmj/1406

APA

Amosov, G. G., & Sakbaev, V. Z. (2016). Geometric properties of systems of vector states and expansion of states in pettis integrals. St. Petersburg Mathematical Journal, 27(4), 589-597. https://doi.org/10.1090/spmj/1406

Vancouver

Amosov GG, Sakbaev VZ. Geometric properties of systems of vector states and expansion of states in pettis integrals. St. Petersburg Mathematical Journal. 2016 Jan 1;27(4):589-597. https://doi.org/10.1090/spmj/1406

Author

Amosov, G. G. ; Sakbaev, V. Zh. / Geometric properties of systems of vector states and expansion of states in pettis integrals. In: St. Petersburg Mathematical Journal. 2016 ; Vol. 27, No. 4. pp. 589-597.

BibTeX

@article{846cc85c778048f5a7b058f4422da825,
title = "Geometric properties of systems of vector states and expansion of states in pettis integrals",
abstract = "The relationship is studied between the geometry ofsystems unit vectors in Hilbert space and the state on the algebra of bounded operators that is obtained by integration of the vector states determined by the system in question with respect to a finitely additive measure on the set of natural numbers.",
keywords = "Finitely additive measure, Pettis integral, State on the algebra of bounded operators, Ultrafilter",
author = "Amosov, {G. G.} and Sakbaev, {V. Zh.}",
year = "2016",
month = jan,
day = "1",
doi = "10.1090/spmj/1406",
language = "English",
volume = "27",
pages = "589--597",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Geometric properties of systems of vector states and expansion of states in pettis integrals

AU - Amosov, G. G.

AU - Sakbaev, V. Zh.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - The relationship is studied between the geometry ofsystems unit vectors in Hilbert space and the state on the algebra of bounded operators that is obtained by integration of the vector states determined by the system in question with respect to a finitely additive measure on the set of natural numbers.

AB - The relationship is studied between the geometry ofsystems unit vectors in Hilbert space and the state on the algebra of bounded operators that is obtained by integration of the vector states determined by the system in question with respect to a finitely additive measure on the set of natural numbers.

KW - Finitely additive measure

KW - Pettis integral

KW - State on the algebra of bounded operators

KW - Ultrafilter

UR - http://www.scopus.com/inward/record.url?scp=84978394036&partnerID=8YFLogxK

U2 - 10.1090/spmj/1406

DO - 10.1090/spmj/1406

M3 - Article

AN - SCOPUS:84978394036

VL - 27

SP - 589

EP - 597

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 4

ER -

ID: 41887605