TY - JOUR
T1 - Spectral decomposition of self-adjoint cyclically compact operators and partial integral equations
AU - Kudaybergenov, K.
AU - Mukhamedov, F.
N1 - Publisher Copyright:
© 2016, Akadémiai Kiadó, Budapest, Hungary.
PY - 2016/8/1
Y1 - 2016/8/1
N2 - 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.
AB - 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.
KW - cyclically compact operator
KW - partial integral equation
KW - spectral decomposition
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U2 - 10.1007/s10474-016-0619-9
DO - 10.1007/s10474-016-0619-9
M3 - Article
AN - SCOPUS:84969871863
SN - 0236-5294
VL - 149
SP - 297
EP - 305
JO - Acta Mathematica Hungarica
JF - Acta Mathematica Hungarica
IS - 2
ER -