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On certain spectral features inherent to scalar type spectral operators

Marat V. Markin
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Abstract

Important spectral features such as the emptiness of the residual spectrum, countability of the point spectrum, provided the space is separable, and a characterization of spectral gap at 0, known to hold for bounded scalar type spectral operators, are shown to naturally transfer to the unbounded case.

Key words: Spectral gap, scalar type spectral operator.


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Article Information

TitleOn certain spectral features inherent to scalar type spectral operators
SourceMethods Funct. Anal. Topology, Vol. 23 (2017), no. 1, 60-65
MathSciNet   MR3632389
zbMATH 06810668
Milestones  Received 23/11/2016
CopyrightThe Author(s) 2017 (CC BY-SA)

Authors Information

Marat V. Markin
Department of Mathematics, California State University, Fresno; 5245 N. Backer Avenue, M/S PB 108; Fresno, CA 93740-8001, USA


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Marat V. Markin, On certain spectral features inherent to scalar type spectral operators, Methods Funct. Anal. Topology 23 (2017), no. 1, 60-65.


BibTex

@article {MFAT948,
    AUTHOR = {Markin, Marat V.},
     TITLE = {On certain spectral features inherent to scalar type spectral operators},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {23},
      YEAR = {2017},
    NUMBER = {1},
     PAGES = {60-65},
      ISSN = {1029-3531},
  MRNUMBER = {MR3632389},
 ZBLNUMBER = {06810668},
       URL = {http://mfat.imath.kiev.ua/article/?id=948},
}


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