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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 270, Pages 253–257 (Mi znsl1335)  
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
Full-text PDF (152 kB)
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
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 2, Pages 2230–2232
DOI: https://doi.org/10.1023/A:1022893022481
Bibliographic databases:
UDC: 517.98
Language: Russian
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
Citation in format AMSBIB
\Bibitem{MusGar00}
\by H.~S.~Mustafaev, M.~T.~Karaev
\paper Expansion of the element~$\sin a$ in exponentials for Hermitian~$a$
\inbook Investigations on linear operators and function theory. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 270
\pages 253--257
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1335}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1795647}
\zmath{https://zbmath.org/?q=an:1037.46049}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 2
\pages 2230--2232
\crossref{https://doi.org/10.1023/A:1022893022481}
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