Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 28, Tome 270 (2000), pp. 253-257
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H. S. Mustafaev; M. T. Karaev. Expansion of the element $\sin a$ in exponentials for Hermitian $a$. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 28, Tome 270 (2000), pp. 253-257. http://geodesic.mathdoc.fr/item/ZNSL_2000_270_a10/
@article{ZNSL_2000_270_a10,
author = {H. S. Mustafaev and M. T. Karaev},
title = {Expansion of the element~$\sin a$ in exponentials for {Hermitian~}$a$},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {253--257},
year = {2000},
volume = {270},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_270_a10/}
}
TY - JOUR
AU - H. S. Mustafaev
AU - M. T. Karaev
TI - Expansion of the element $\sin a$ in exponentials for Hermitian $a$
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2000
SP - 253
EP - 257
VL - 270
UR - http://geodesic.mathdoc.fr/item/ZNSL_2000_270_a10/
LA - ru
ID - ZNSL_2000_270_a10
ER -
%0 Journal Article
%A H. S. Mustafaev
%A M. T. Karaev
%T Expansion of the element $\sin a$ in exponentials for Hermitian $a$
%J Zapiski Nauchnykh Seminarov POMI
%D 2000
%P 253-257
%V 270
%U http://geodesic.mathdoc.fr/item/ZNSL_2000_270_a10/
%G ru
%F ZNSL_2000_270_a10
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 $\|\sin a\|=|\sin a|$.
