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On the common point spectrum of pairs of self-adjoint extensions


Abstract

Given two different self-adjoint extensions of the same symmetric operator, we analyse the intersection of their point spectra. Some simple examples are provided.

Key words: Self-adjoint extensions, Krein’s resolvent formula, point spectrum.


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Article Information

TitleOn the common point spectrum of pairs of self-adjoint extensions
SourceMethods Funct. Anal. Topology, Vol. 20 (2014), no. 1, 59-67
MathSciNet MR3242123
zbMATH 1313.47044
MilestonesReceived 15/09/2013; Revised 17/12/2013
CopyrightThe Author(s) 2014 (CC BY-SA)

Authors Information

Andrea Posilicano
DiSAT - Sezione di Matematica, Universit\`a dell'Insubria, I-22100 Como, Italy 


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Citation Example

Andrea Posilicano, On the common point spectrum of pairs of self-adjoint extensions, Methods Funct. Anal. Topology 20 (2014), no. 1, 59-67.


BibTex

@article {MFAT707,
    AUTHOR = {Posilicano, Andrea},
     TITLE = {On the common point spectrum of pairs of self-adjoint extensions},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {20},
      YEAR = {2014},
    NUMBER = {1},
     PAGES = {59-67},
      ISSN = {1029-3531},
  MRNUMBER = {MR3242123},
 ZBLNUMBER = {1313.47044},
       URL = {http://mfat.imath.kiev.ua/article/?id=707},
}


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