# On Selfadjoint Spectral Theory of Random Operators

## TL;DR

This paper develops spectral theorems for a class of random operators, extending classical spectral theory to include non-continuous, normal, and self-adjoint cases on complex Hilbert spaces.

## Contribution

It introduces spectral theorems for not necessarily continuous normal and self-adjoint random operators, broadening the scope of spectral analysis in random operator theory.

## Key findings

- Spectral theorems established for non-continuous normal random operators
- Spectral theorems established for non-continuous self-adjoint random operators
- Extension of spectral theory to broader classes of random operators

## Abstract

In this paper spectral theorems for not necessarily continuous normal and self-adjoint random operators on a complex separable Hilbert space are proved.