The spectrum of some special elements in the free Banach algebra
Abdullah H. Al-Moajil
Proc. Amer. Math. Soc. 50 (1975), 218-222
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Abstract: Let be the free semigroup on two generators, and let denote the empty word in . It is shown that if has the property that its support freely generates a subsemigroup of , then the spectrum of in is equal to .
A. H. Al-Moajil, Nilpotency and quasipotency in Banach algebras, Ph.D. Dissertation, University of Oregon, Corvallis, Ore., 1973.
E. Rickart, General theory of Banach algebras, The University
Series in Higher Mathematics, D. van Nostrand Co., Inc., Princeton,
N.J.-Toronto-London-New York, 1960. MR
- A. H. Al-Moajil, Nilpotency and quasipotency in Banach algebras, Ph.D. Dissertation, University of Oregon, Corvallis, Ore., 1973.
- C. E. Rickart, General theory of Banach algebras, University Ser. in Higher Math., Van Nostrand, Princeton, N. J., 1960. MR 22 #5903. MR 0115101 (22:5903)
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