IJPAM: Volume 115, No. 4 (2017)

Title

ON THE WEIGHTED COMPOSITION OPERATORS
ON HILBERT SPACES OF FORMAL POWER SERIES

Authors

Bahmann Yousefi$^1$, Fatemeh Zangeneh$^2$
$^{1,2}$Department of Mathematics
Payame Noor University
P.O. Box: 19395-3697, Tehran, IRAN

Abstract

In this paper we consider composition operators on the weighted Hardy spaces and we investigate that when the numerical range of a compact composition operator is closed.

History

Received: March 27, 2017
Revised: July 3, 2017
Published: August 10, 2017

AMS Classification, Key Words

AMS Subject Classification: 47B37, 47A16
Key Words and Phrases: Hilbert spaces of formal power series associated with a sequence $\beta$, weighted composition operator, numerical range, completely continuous operator

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Bibliography

1
C.C. Cowen and B.D. MacCluer, Composition Operators on Spaces of Analytic Functions, CRC Press, Boca Raton, 1995.

2
A.L. Shields, Weighted shift operators and analytic function theory, Math. Survey, Amer. Math. Soc. Providence (1974), 49-128.

3
B. Yousefi, On the space $l^p (\beta)$, Rendiconti Del Circolo Mathmatico Di Palermo, Serie II, XILX (2000), 115-120.

4
B. Yousefi, Composition operators on weighted Hardy spaces, Kyungpook Mathematical Journal, 44 (2004), 319-324.

5
B. Yousefi, Strictly cyclic algebra of operators acting on Banach spaces $H^{p}(\beta)$, Czechoslovak Mathematical Journal, 54, No. 129 (2004), 261-266.

6
B. Yousefi, Composition operators on weighted Hardy spaces, Kyungpook Mathematical Journal, 44 (2004), 319-324.

7
B. Yousefi and Sh. Khoshdel, Reflexivity of powers of the multiplication operator on special function spaces, Acta Mathematica Scientia, 32B, No. 6 (2012), 2279-2284.

How to Cite?

DOI: 10.12732/ijpam.v115i4.15 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 115
Issue: 4
Pages: 821 - 825


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