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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 270, Pages 253–257
(Mi znsl1335)
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Expansion of the element $\sin a$ in exponentials for Hermitian $a$
H. S. Mustafaev, M. T. Karaev Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
Abstract:
Let $A$ be a complex Banach algebra with identity and $a\in A$ a Hermitian element. An interpolation formula is proved expressing $\sin a$ in terms of exponentials and implying, in particular, the identity $\|\sin a\|=|\sin a|$.
Received: 10.05.2000
Citation:
H. S. Mustafaev, M. T. Karaev, “Expansion of the element $\sin a$ in exponentials for Hermitian $a$”, Investigations on linear operators and function theory. Part 28, Zap. Nauchn. Sem. POMI, 270, POMI, St. Petersburg, 2000, 253–257; J. Math. Sci. (N. Y.), 115:2 (2003), 2230–2232
Linking options:
https://www.mathnet.ru/eng/znsl1335 https://www.mathnet.ru/eng/znsl/v270/p253
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Abstract page: | 247 | Full-text PDF : | 59 |
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