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A note on homotopies of rational matrix inner functions

Michael T. Jury

Abstract

We show that when $m>n$, the space of $m\times n$-matrix-valued rational inner functions in the disk is path connected.

A note on homotopies of rational matrix inner functions

Abstract

We show that when , the space of -matrix-valued rational inner functions in the disk is path connected.

Paper Structure

This paper contains 1 theorem, 12 equations.

Key Result

Theorem 1

If $m>n$ then the metric space $\mathcal{RIF}(m,n)$ is path connected.

Theorems & Definitions (2)

  • Theorem
  • proof