An Extension of the Spectral Mapping Theorem
We give an extension of the spectral mapping theorem on hypergroups and prove that if 𝐾 is a commutative strong hypergroup with 0𝑥0005𝑒𝐾=𝑋𝑏(𝐾) and 𝜅 is a weakly continuous representation of 𝑀(𝐾) on a 𝑊∗-algebra such that for every 𝑡∈𝐾, 𝜅𝑡 is an ∗-automorphism, 𝑠𝑝𝜅 is a synthesis set for 𝐿1(𝐾) and 𝜅(...
Váldodahkkit: | , |
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Materiálatiipa: | Artihkal |
Giella: | English |
Almmustuhtton: |
Wiley
2008-01-01
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Ráidu: | International Journal of Mathematics and Mathematical Sciences |
Liŋkkat: | http://dx.doi.org/10.1155/2008/531424 |