In:
Journal of the Australian Mathematical Society, Cambridge University Press (CUP), Vol. 28, No. 3 ( 1979-11), p. 309-314
Abstract:
Let (Хζ,λ) be a σ-finite measure space, and let ϕ be a non-singular measurable transformation from X into itself. Then a composition transformation C ϕ on L 2 (λ) is defined by C ϕ f = f ∘ ϕ. If C ϕ is a bounded operator, then it is called a composition operator. The space L 2 (λ) is said to admit compact composition operators if there exists a ϕ such that C ϕ is compact. This note is a report on the spaces which admit or which do not admit compact composition operators.
Type of Medium:
Online Resource
ISSN:
1446-7887
,
1446-8107
DOI:
10.1017/S1446788700012258
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1979
detail.hit.zdb_id:
1478743-X
SSG:
17,1
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