Lobachevskii journal of mathematics, Tome 6 (2000), pp. 33-37
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B. T. Batikyan. Point derivations on algebraic extension of Banach algebra. Lobachevskii journal of mathematics, Tome 6 (2000), pp. 33-37. http://geodesic.mathdoc.fr/item/LJM_2000_6_a2/
@article{LJM_2000_6_a2,
author = {B. T. Batikyan},
title = {Point derivations on algebraic extension of {Banach} algebra},
journal = {Lobachevskii journal of mathematics},
pages = {33--37},
year = {2000},
volume = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/LJM_2000_6_a2/}
}
TY - JOUR
AU - B. T. Batikyan
TI - Point derivations on algebraic extension of Banach algebra
JO - Lobachevskii journal of mathematics
PY - 2000
SP - 33
EP - 37
VL - 6
UR - http://geodesic.mathdoc.fr/item/LJM_2000_6_a2/
LA - en
ID - LJM_2000_6_a2
ER -
%0 Journal Article
%A B. T. Batikyan
%T Point derivations on algebraic extension of Banach algebra
%J Lobachevskii journal of mathematics
%D 2000
%P 33-37
%V 6
%U http://geodesic.mathdoc.fr/item/LJM_2000_6_a2/
%G en
%F LJM_2000_6_a2
It is shown that a point $y_0$ in the carrier space of algebraic extension $B$ of commutative Banach algebra $A$ is a branch point if and only if there exists a local point derivation on $B$ at $y_0$, whose kernel contains $A$.