Showing math.RAShow all
4 papers · 1 filter
math.RA2016
Continuity of Seminorms on Finite-Dimensional Vector Spaces
Moshe Goldberg
The main purpose of this note is to establish the continuity of seminorms on finite-dimensional vector spaces over the real or complex numbers.
math.RA2015
The radius in matrix algebras--Examples and remarks
Moshe Goldberg
The main purpose of this note is to illustrate how the radius in a finite-dimensional power-associative algebra over a field , either or , may…
math.RA2015
On the Radius in Cayley-Dickson Algebras
Moshe Goldberg, Thomas J. Laffey
In the first two sections of this paper we provide a brief account of the Cayley-Dickson algebras and prove that the radius on these algebras is given by the Euclidean norm. With t…
math.RA2009
Homotonic Algebras
Michael Cwikel, Moshe Goldberg
An algebra of real or complex valued functions defined on a set shall be called \textit{homotonic} if is closed under forming of absolute v…