Result: Geometric properties of composition operators belonging to Schatten classes
Title:
Geometric properties of composition operators belonging to Schatten classes
Authors:
Source:
International Journal of Mathematics and Mathematical Sciences, Vol 26, Iss 4, Pp 239-248 (2001)
Publisher Information:
Wiley, 2001.
Publication Year:
2001
Subject Terms:
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), geometry of the image domain, Schatten classes, Linear composition operators, compact composition operator, 01 natural sciences, analytic function mapping the unit disk into itself, Linear operators on function spaces (general), QA1-939, composition operator, Spaces of bounded analytic functions of one complex variable, Lotto's conjectures, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, Mathematics
Document Type:
Academic journal
Article
File Description:
application/xml
Language:
English
ISSN:
1687-0425
0161-1712
0161-1712
DOI:
10.1155/s0161171201003726
Access URL:
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....7e2b3085169f03b7bf50b3aa87ebcb4c
Database:
OpenAIRE
Further Information
We investigate the connection between the geometry of the image domain of an analytic function mapping the unit disk into itself and the membership of the composition operator induced by this function in the Schatten classes. The purpose is to provide solutions to Lotto′s conjectures and show a new compact composition operator which is not in any of the Schatten classes.