7 papers
Continuity and Discontinuity of Seminorms on Infinite-Dimensional Vector Spaces. II
Jacek Chmieliński, Moshe Goldberg
In this paper we extend our findings in [3] and answer further questions regarding continuity and discontinuity of seminorms on infinite-dimensional vector spaces.
Continuity and Discontinuity of Seminorms on Infinite-Dimensional Vector Spaces
Jacek Chmieliński, Moshe Goldberg
Let be a seminorm on an infinite-dimensional real or complex vector space . Our purpose in this note is to study the continuity and discontinuity properties of with resp…
Analysis of Thermal Stresses in Solidification of Spherical SLM Components
Amir Mahyar Khorasani, Ian Gibson, Moshe Goldberg +2
The majority of these machines fabricate from raw material in powder form using a directed energy beam to create a local melt zone. Total hip replacement is recommended for people…
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.
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…
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…