Herglotz's representation for operator valued functions and the spectral theorem for unitary operators

Article Type

Research Article

Publication Title

Infinite Dimensional Analysis Quantum Probability and Related Topics

Abstract

The Herglotz-Nevanlinna theorem in is a very classical, useful theorem with myriad applications. Here a complete proof of its operator-valued version is given, which is then used to prove the spectral theorem for unitary operators.

DOI

10.1142/S021902572440006X

Publication Date

12-1-2024

Share

COinS