On rank one perturbation of continuous spectrum which generates given finite point spectrum

Abstract

The perturbations of Nevanlinna type functions which preserve the set of zeros of this function or add to this set new points are discussed.

Full Text

Article Information

Title	On rank one perturbation of continuous spectrum which generates given finite point spectrum
Source	Methods Funct. Anal. Topology, Vol. 14 (2008), no. 1, 20-31
MathSciNet	MR2402150
Copyright	The Author(s) 2008 (CC BY-SA)

Authors Information

F. Diaba
Laboratoire of Mathematics, Department of Mathematics, Faculty of Sciences, University Badji Mokhtar Annaba, Annaba, Algeria

E. Cheremnikh
Lviv Polytechnic National University, Lviv, Ukraine 

Citation Example

F. Diaba and E. Cheremnikh, On rank one perturbation of continuous spectrum which generates given finite point spectrum, Methods Funct. Anal. Topology 14 (2008), no. 1, 20-31.

BibTex

@article {MFAT413,
    AUTHOR = {Diaba, F. and Cheremnikh, E.},
     TITLE = {On rank one perturbation of continuous spectrum which generates given finite point spectrum},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {14},
      YEAR = {2008},
    NUMBER = {1},
     PAGES = {20-31},
      ISSN = {1029-3531},
  MRNUMBER = {MR2402150},
       URL = {http://mfat.imath.kiev.ua/article/?id=413},
}