Gutman A.E.
Transition functions
2 publications, 2003–2004

Study of the spaces of transition functions and their relations to other objects of functional analysis

Order, metric, and algebraic properties are studied of the set of finitely additive transition functions endowed with the structure of an ordered normed algebra.
Interconnections are revealed between finitely additive transition functions, linear operators, vector measures, and measurable vector-valued functions.
The question is examined of splitting the space of transition functions into the sum of the subspaces of countably additive and purely finitely additive transition functions.

1.	Gutman A.E., Sotnikov A.I. On order complete sigma-algebras [in Russian] // Sci. Proc. TyvSU. Kyzyl: TyvSU. 2003. Issue 1. P. 83–86. Bibliographic record Record in BibTeX format Article (PDF) Author version (PDF) Cover (PDF) Information on ResearchGate Journal site
2.	Gutman A.E., Sotnikov A.I. Order properties of the space of finitely additive transition functions [in Russian] // Sib. Matem. Zh. 2004. V. 45, N 1. P. 80–102. Bibliographic record Record in BibTeX format Article (PDF) Cover (PDF) Article on the journal site (PDF) Information on the journal site Information on ResearchGate Issue on the journal site Journal site English version
	Gutman A.E., Sotnikov A.I. Order properties of the space of finitely additive transition functions // Sib. Math. J. 2004. V. 45, N 1. P. 69–85. Bibliographic record Record in BibTeX format Article (PDF) Information on Springer Link Information on ResearchGate DOI resolution Journal site Russian version

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Last updated
June 10, 2020

Gutman A.E.Transition functions2 publications, 2003–2004