Spectral properties of a certain class of Carleman operators

S. M. Bahri

Archivum Mathematicum (2007)

  • Volume: 043, Issue: 3, page 163-175
  • ISSN: 0044-8753

Abstract

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The object of the present work is to construct all the generalized spectral functions of a certain class of Carleman operators in the Hilbert space L 2 X , μ and establish the corresponding expansion theorems, when the deficiency indices are (1,1). This is done by constructing the generalized resolvents of A and then using the Stieltjes inversion formula.

How to cite

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Bahri, S. M.. "Spectral properties of a certain class of Carleman operators." Archivum Mathematicum 043.3 (2007): 163-175. <http://eudml.org/doc/250178>.

@article{Bahri2007,
abstract = {The object of the present work is to construct all the generalized spectral functions of a certain class of Carleman operators in the Hilbert space $L^\{2\}\left( X,\mu \right) $ and establish the corresponding expansion theorems, when the deficiency indices are (1,1). This is done by constructing the generalized resolvents of $A$ and then using the Stieltjes inversion formula.},
author = {Bahri, S. M.},
journal = {Archivum Mathematicum},
keywords = {spectral theory; integral operator; defect indices; spectral theory; integral operator; defect indices},
language = {eng},
number = {3},
pages = {163-175},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Spectral properties of a certain class of Carleman operators},
url = {http://eudml.org/doc/250178},
volume = {043},
year = {2007},
}

TY - JOUR
AU - Bahri, S. M.
TI - Spectral properties of a certain class of Carleman operators
JO - Archivum Mathematicum
PY - 2007
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 043
IS - 3
SP - 163
EP - 175
AB - The object of the present work is to construct all the generalized spectral functions of a certain class of Carleman operators in the Hilbert space $L^{2}\left( X,\mu \right) $ and establish the corresponding expansion theorems, when the deficiency indices are (1,1). This is done by constructing the generalized resolvents of $A$ and then using the Stieltjes inversion formula.
LA - eng
KW - spectral theory; integral operator; defect indices; spectral theory; integral operator; defect indices
UR - http://eudml.org/doc/250178
ER -

References

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