Open Access
2015 Topological properties of path connected components in spaces of weighted composition operators into L1
Kei Ji Izuchi, Yuko Izuchi, Shûichi Ohno
Rocky Mountain J. Math. 45(3): 941-962 (2015). DOI: 10.1216/RMJ-2015-45-3-941

Abstract

This paper demonstrates equivalence amongst the topological structures of path connected components in the spaces of weighted composition operators from $L^{\infty}$, $H^{\infty}$ and the disk algebra into $L^{\infty}$ on the unit circle.

Citation

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Kei Ji Izuchi. Yuko Izuchi. Shûichi Ohno. "Topological properties of path connected components in spaces of weighted composition operators into L1." Rocky Mountain J. Math. 45 (3) 941 - 962, 2015. https://doi.org/10.1216/RMJ-2015-45-3-941

Information

Published: 2015
First available in Project Euclid: 21 August 2015

zbMATH: 1333.47021
MathSciNet: MR3385971
Digital Object Identifier: 10.1216/RMJ-2015-45-3-941

Subjects:
Primary: 47B38
Secondary: 30H10

Keywords: disk algebra , essential norm , Lebesgue space , path connected component , space of bounded analytic functions , Weighted composition operator

Rights: Copyright © 2015 Rocky Mountain Mathematics Consortium

Vol.45 • No. 3 • 2015
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