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The investigation of Bogoliubov functionals by operator methods of moment problem


Abstract

The article is devoted to a study of Bogoliubov functionals by using methods of the operator spectral theory being applied to the classical power moment problem. Some results, similar to corresponding ones for the moment problem, where obtained for such functionals. In particular, the following question was studied: under what conditions a sequence of nonlinear functionals is a sequence of Bogoliubov functionals.

Key words: Projection spectral theorem, Kondratiev--Kuna convolution, Lenard transform, Bogolyubov functional


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TitleThe investigation of Bogoliubov functionals by operator methods of moment problem
SourceMethods Funct. Anal. Topology, Vol. 22 (2016), no. 1, 1-47
MathSciNet   MR3522860
zbMATH 06630281
Milestones  Received 21/04/2011; Revised 03/08/2015
CopyrightThe Author(s) 2016 (CC BY-SA)

Authors Information

Yu. M. Berezansky
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

V. A. Tesko
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine


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Citation Example

Yu. M. Berezansky and V. A. Tesko, The investigation of Bogoliubov functionals by operator methods of moment problem, Methods Funct. Anal. Topology 22 (2016), no. 1, 1-47.


BibTex

@article {MFAT593,
    AUTHOR = {Berezansky, Yu. M. and Tesko, V. A.},
     TITLE = {The investigation of Bogoliubov functionals by operator methods of moment problem},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {22},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {1-47},
      ISSN = {1029-3531},
  MRNUMBER = {MR3522860},
 ZBLNUMBER = {06630281},
       URL = {http://mfat.imath.kiev.ua/article/?id=593},
}


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