Electronic Resource
Springer
Integral equations and operator theory
26 (1996), S. 210-221
ISSN:
1420-8989
Keywords:
Primary 47B37
;
47B38
;
47A15
;
Secondary 47A45
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract If ε is a complex, separable Hilbert space, letL 2 (ε) denote theL 2-space of functions defined on the unit circle and having values in ε. The bilateral shift onL 2(ε) is the operator (U ε f)(λ)=λf(λ). A Hilbert spaceH iscontractively contained in the Hilbert spaceK ifH⊂K and the inclusion mapH−K is a contraction. We describe the structure of those Hilbert spaces, contractively contained inL 2(ε), that are carried into themselves contractively byU ε. We also do this for the subcase of those spaces which are carried into themselves unitarily byU ε.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01191858
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