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On the spectral properties of elements of the type exp(ih) in Hermitian Banach algebras. (English) Zbl 0433.46041


MSC:

46H20 Structure, classification of topological algebras
46H30 Functional calculus in topological algebras

Citations:

Zbl 0209.444
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References:

[1] Bonsall F. F., Duncan J.: Complete Normed Algebras. Springer-Verlag 1973. · Zbl 0271.46039
[2] Naimark M. A.: Normirovannyje kolca. Moskva 1968.
[3] Gelfand I. M., Naimark M. A.: On the imbedding of normed rings into the ring of operators on Hilbert space. Mat. Sborník 12, 197-213 (1943). · Zbl 0060.27006
[4] Pták V.: Banach algebras with involution. Manuscripta math. 6, p. 245-290 (1972), Springer-Verlag. · Zbl 0229.46054
[5] Pták V.: On the spectral radius in Banach algebras with involution. Bull. Lond. Math. Soc. 2, p. 327-334 (1970). · Zbl 0209.44403
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