## Taiwanese Journal of Mathematics

### TOPOLOGICAL STRUCTURE OF THE SPACE OF COMPOSITION OPERATORS FORM $F(p,q,s)$ SPACE to $\mathcal{B}_\mu$ SPACE

#### Abstract

We study the topological structure of the space of all bounded composition operators from $F(p,q,s)$ to $\mathcal{B}_\mu$ on the unit disk $\mathbb{D}$ in the operator norm topology. At the same time, we characterizes the boundedness and compactness of the differences of two composition operators.

#### Article information

Source
Taiwanese J. Math., Volume 18, Number 1 (2014), 285-304.

Dates
First available in Project Euclid: 10 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1499706344

Digital Object Identifier
doi:10.11650/tjm.18.2014.3398

Mathematical Reviews number (MathSciNet)
MR3162126

Zentralblatt MATH identifier
1357.32006

#### Citation

Zhang, Li; Zhou, Ze-Hua. TOPOLOGICAL STRUCTURE OF THE SPACE OF COMPOSITION OPERATORS FORM $F(p,q,s)$ SPACE to $\mathcal{B}_\mu$ SPACE. Taiwanese J. Math. 18 (2014), no. 1, 285--304. doi:10.11650/tjm.18.2014.3398. https://projecteuclid.org/euclid.twjm/1499706344

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