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Mubariz T. Karaev, Suna Saltan, and Tevfik Kunt
Discrete Duhamel product, restriction of weighted shift operators and related problems view print
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| Published: |
October 5, 2014
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| Keywords: |
Discrete Duhamel product, Weighted shift operator, Borel transform, Banach algebra, Spectral multiplicity |
| Subject: |
47B38, 46B15 |
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Abstract
By applying the discrete Duhamel product method we calculate the spectral
multiplicity of the direct sum of some operators. In particular, we prove that
μ(T|Xi⊕ A)=1+μ(A) and μ(S⊕ A)=2
for the restriction of the weighted shift operator T|Xi,
shift operator S and some appropriate operators A on the Banach spaces.
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| Acknowledgements
This work is supported by Suleyman Demirel University with Project 3465-YL1-13. This paper was supported by King Saud University, Deanship of Scientific Research, College of Science Research Center.
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| Author information
Mubariz T. Karaev:
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
mgarayev@ksu.edu.sa
Suna Saltan:
Suleyman Demirel University, Department of Mathematics, 32260, Isparta, Turkey
sunasaltan@sdu.edu.tr
Tevfik Kunt:
Suleyman Demirel University, Department of Mathematics, 32260, Isparta, Turkey
tevfik.kunt@gmail.com
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