IJPAM: Volume 116, No. 2 (2017)

Title

ON THE WEIGHTED COMPOSITION OPERATORS
ON SPECIAL SEQUENCE SPACES

Authors

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

Abstract

In this paper we study weighted composition operators on Banach spaces of formal power series and we investigate that when the numerical range of a weighted composition operator is closed.

History

Received: 2017-04-14
Revised: 2017-07-03
Published: October 7, 2017

AMS Classification, Key Words

AMS Subject Classification: 47B37, 47A16
Key Words and Phrases: weighted composition operator, numerical range, compact operator, weak topology

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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
J.H. Shapiro, Composition Operators and Classical Function Theory, Springer-Verlag, New York Inc. 1993.

3
J.H. Shapiro, Compact composition operators on spaces of boundary-regular holomorphic functions, Proc. Amer. Math. Soc., 100 (1987), 49-57.

4
B. Yousefi, Bounded analytic structure of the Banach space of formal power series, Rendiconti Del Circolo Matematico Di Palermo, Serie II, Tomo LI (2002), 403-410.

5
B. Yousefi, On the eighteenth question of Allen Shields, International Journal of Mathematics, 16, No. 1 (2005), 37-42.

6
B. Yousefi, Z. Kamali and L. Bagheri, Isometries of weighted Hardy spaces among composition operators, Korean Annals of Math., 23, No. 2 (2006), 119-125.

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.v116i2.10 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: 116
Issue: 2
Pages: 385 - 389


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