The linear functionals on fundamental locally multiplicative topological algebras
Multiplicative linear functionals, carrier space, fundamental locally multiplicative topological algebras.
The linear functionals on fundamental locally multiplicative topological algebras
Multiplicative linear functionals, carrier space, fundamental locally multiplicative topological algebras.,
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- Suppose f is a linear functional on complex Banach algebra A, and let x∈ A with x ≤ 1. Choose xk∈ A with xk < 1 such that xk→ x, Then ∃b > 1 such that bnxkn→ 0 and therefore |f(xk)| ≤ v(f) and so|f(x)| ≤ v(f), i.e f ≤ v(f). 2
- ISSN: 1300-0098
- Yayın Aralığı: 6
- Yayıncı: TÜBİTAK
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The linear functionals on fundamental locally multiplicative topological algebras