Bounded below composition operators on the space of Bloch functions on the unit ball of a Hilbert space

Let B E be the open unit ball of a complex finite or infinite dimensional Hilbert space E and consider the space B ( B E ) of Bloch functions on B E . Using Lipschitz continuity of the dilation map on B E given by x ↦ ( 1 - ‖ x ‖ 2 ) R f ( x ) for x ∈ B E , where R f denotes the radial derivative of...

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Bibliographic Details

Published in:	Banach journal of mathematical analysis Vol. 17; no. 4
Main Author:	Miralles, Alejandro
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.10.2023
Subjects:	Functional Analysis Mathematics Mathematics and Statistics Operator Theory Original Paper Bounded below operator 46E50 47B33 Infinite dimensional space Automorphisms 30H30 Bloch space 32A18
ISSN:	2662-2033, 1735-8787
Online Access:	Get full text
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