The Concept of Spacer Subspaces Associated with Complex Matrix Spaces of Order m by n, Where m≠n


Authors : Debopam Ghosh

Volume/Issue : Volume 6 - 2021, Issue 4 - April

Google Scholar : http://bitly.ws/9nMw

Scribd : https://bit.ly/3tgfp1L

The article presents a formalism to define non-trivial subspaces of complex matrix spaces of order m by n, where m and n are different. This is achieved by using the Spacer matrix( as defined in Ghosh[1]) and it’s Hermitian conjugate, associated with the matrix space, as the building blocks. The Mathematical formalism is presented and illustrated with suitable numerical examples.

Keywords : Spacer Matrices, Component Matrices of the Spacer Matrix, Embedding Dimension, Spacer Matrix based Generalized Matrix Multiplication.

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