Decomposition of fréchet Q lmc*- algebra
This paper is devoted to discuss the new approach to define inner product space Aμ on a unital commutative semi-simple separable Fréchet Q lmc*- algebra via the Gelfand transformation by mean of probability measure μ on the maximal ideal space Δ of A. We will establish that every maximal ideal M o...
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2015
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/46804/ http://irep.iium.edu.my/46804/1/46804.pdf |
| Summary: | This paper is devoted to discuss the new approach to define inner product space Aμ on a unital
commutative semi-simple separable Fréchet Q lmc*- algebra via the Gelfand transformation by mean of
probability measure μ on the maximal ideal space Δ of A. We will establish that every maximal ideal M of A
with M┴ ≠ {0} is Aμ -closed and consequently the decomposition A = M ⊕ M ⊥. |
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