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Linear sums of two composition operators on the Fock space
- Authors
- Choe, Boo Rim; Izuchi, Kou Hei; Koo, Hyungwoon
- Issue Date
- 1-9월-2010
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Linear sum; Composition operator; Fock space
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.369, no.1, pp.112 - 119
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 369
- Number
- 1
- Start Page
- 112
- End Page
- 119
- ISSN
- 0022-247X
- Abstract
- Linear sums of two composition operators of the multi-dimensional Fock space are studied. We show that such an operator is bounded only when both composition operators in the sum are bounded. So, cancelation phenomenon is not possible on the Fock space, in contrast to what have been known on other well-known function spaces over the unit disk. We also show the analogues for compactness and for membership in the Schatten classes. For linear sums of more than two composition operators the investigation is left open. (C) 2010 Elsevier Inc. All rights reserved.
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