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

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

Department of Mathematical Analysis

Overview
Cite this

DOI

https://doi.org/10.1090/spmj/1406
Final published version

G. G. Amosov
V. Zh. Sakbaev

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.

Original language	English
Pages (from-to)	589-597
Journal	St. Petersburg Mathematical Journal
Volume	27
Issue number	4
DOIs	https://doi.org/10.1090/spmj/1406
State	Published - 1 Jan 2016

Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

Research areas

Finitely additive measure, Pettis integral, State on the algebra of bounded operators, Ultrafilter

ID: 41887605