Electron. J. Diff. Equ., Vol. 2012 (2012), No. 210, pp. 1-8.

Spectrum of the direct sum of operators

Elif Otkun Cevik, Zameddin I. Ismailov

Abstract:
We study the connection between spectral properties of direct the sum of operators in the direct sum of Hilbert spaces and its coordinate operators.

Submitted November 30, 2011. Published November 27, 2012.
Math Subject Classifications: 47A10.
Key Words: Direct sum of Hilbert spaces; spectrum; resolvent set; compact operators; discrete spectrum; eigenvalues.

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Elif Otkun Çevik
Institute of Natural Sciences
Karadeniz Technical University
61080, Trabzon, Turkey
email: e_otkuncevik@hotmail.com
Zameddin I. Ismailov
Department of Mathematics, Faculty of Sciences
Karadeniz Technical University
61080, Trabzon, Turkey
email: zameddin@yahoo.com

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