an extension of the spectral mapping theorem
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ID: 220416
2008
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Abstract
We give an extension of the spectral mapping theorem
on hypergroups and prove that if ๐พ is a commutative strong hypergroup with 0๐ฅ0005๐๐พ=๐๐(๐พ) and ๐
is a weakly continuous representation of ๐(๐พ) on a ๐โ-algebra such that for every ๐กโ๐พ, ๐
๐ก is an โ-automorphism, ๐ ๐๐
is a synthesis
set for ๐ฟ1(๐พ) and ๐
(๐ฟ1(๐พ)) is without order, then for any ๐ in a closed regular
subalgebra of ๐(๐พ) containing ๐ฟ1(๐พ), ๐(๐
(๐))=0๐ฅ0005๐๐(๐ ๐๐
), where ๐ ๐๐
is the
Arveson spectrum of ๐
.
| Reference Key |
medghalchi2008internationalan
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|---|---|
| Authors | ;A. R. Medghalchi;S. M. Tabatabaie |
| Journal | structural engineering and mechanics |
| Year | 2008 |
| DOI |
10.1155/2008/531424
|
| URL | |
| Keywords |
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