Description of a Class of Locally Pseudoconvex Algebras which Have an Equivalent Locally $M$-Psuedoconvex Topology
نویسندگان
چکیده
منابع مشابه
Locally ̂ - Equivalent Algebras ^ )
Let A be a Banach "-algebra. A is locally ¿"-equivalent if, for every selfadjoint element t e A, the closed *-subalgebra of A generated by / is *-isomorphic to a ¿"-algebra. In this paper it is shown that when A is locally ¿"-equivalent, and in addition every selfadjoint element in A has at most countable spectrum, then A is *-isomorphic to a ¿"-algebra.
متن کاملA class of certain properties of approximately n-multiplicative maps between locally multiplicatively convex algebras
We extend the notion of approximately multiplicative to approximately n-multiplicative maps between locally multiplicatively convex algebras and study some properties of these maps. We prove that every approximately n-multiplicative linear functional on a functionally continuous locally multiplicatively convex algebra is continuous. We also study the relationship between approximately mu...
متن کاملA Class of Locally Nilpotent Commutative Algebras
This paper deals with the variety of commutative nonassociative algebras satisfying the identity Lx + γLx3 = 0, γ ∈ K. In [2] it is proved that if γ = 0, 1 then any finitely generated algebra is nilpotent. Here we generalize this result by proving that if γ 6= −1, then any such algebra is locally nilpotent. Our results require characteristic 6= 2, 3.
متن کاملOn a class of locally projectively flat Finsler metrics
In this paper we study Finsler metrics with orthogonal invariance. We find a partial differential equation equivalent to these metrics being locally projectively flat. Some applications are given. In particular, we give an explicit construction of a new locally projectively flat Finsler metric of vanishing flag curvature which differs from the Finsler metric given by Berwald in 1929.
متن کاملRealization of locally extended affine Lie algebras of type $A_1$
Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras. After that, various generalizations of these Lie algebras have been investigated by others. It is known that a locally extended affine Lie algebra can be recovered from its centerless core, i.e., the ideal generated by weight...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1998
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181071740