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# On certain spectral features inherent to scalar type spectral operators

### 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.

### Article Information

 Title On certain spectral features inherent to scalar type spectral operators Source Methods Funct. Anal. Topology, Vol. 23 (2017), no. 1, 60-65 MathSciNet MR3632389 zbMATH 06810668 Milestones Received 23/11/2016 Copyright The 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

### Citation Example

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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