Spectral decomposition of self-adjoint cyclically compact operators and partial integral equations

K. Kudaybergenov, F. Mukhamedov

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We prove a spectral decomposition theorem for self-adjoint cyclically compact operators on Hilbert–Kaplansky module over a ring of bounded measurable functions. We apply this result to partial integral equations on the space with mixed norm of measurable functions. We give a condition of solvability of partial integral equations with self-adjoint kernel.

Original languageEnglish
Pages (from-to)297-305
Number of pages9
JournalActa Mathematica Hungarica
Volume149
Issue number2
DOIs
Publication statusPublished - Aug 1 2016
Externally publishedYes

Keywords

  • cyclically compact operator
  • partial integral equation
  • spectral decomposition

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'Spectral decomposition of self-adjoint cyclically compact operators and partial integral equations'. Together they form a unique fingerprint.

Cite this