Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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}
Linking options:
  • https://www.mathnet.ru/eng/znsl1335
  • https://www.mathnet.ru/eng/znsl/v270/p253
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:247
    Full-text PDF :59
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024