3 papers
math.RA2020
On a 4-dimensional subalgebra of the 12-tone Equal Tempered Tuning
Ján Haluška, Małgorzata Jastrzębska
An operation of associative, commutative and distributive multiplication on { Euclidean vector space} is introduced by a skew circulant matrix. The resulting algebra…
math.CV2019
A three dimensional modification of the Gaussian number field
Ján Haluška
For vectors in we introduce an associative, commutative and distributive multiplication. We describe the related algebraic and geometrical properties, and hint some…
math.FA2011
The Egoroff Theorem for Operator-Valued Measures in Locally Convex Spaces
Ján Haluška, Ondrej Hutník
The Egoroff theorem for measurable -valued functions and operator-valued measures , where is a -algebra of subsets of $T \neq \em…