The Moore-Penrose inverses of unbounded closable operators and the Cartesian product of closed operators in Hilbert spaces

TL;DR

This paper investigates the properties and characterizations of Moore-Penrose inverses for unbounded closable operators and explores the Cartesian product of closed operators within Hilbert spaces.

Contribution

It provides new characterizations and insights into the Moore-Penrose inverses of unbounded operators and the structure of Cartesian products of closed operators in Hilbert spaces.

Findings

Characterization of Moore-Penrose inverses for unbounded closable operators

Analysis of Cartesian product of closed operators

New theoretical results in operator theory

Abstract

In this paper, we present some interesting results to characterize the Moore-Penrose inverses of unbounded closable operators and the Cartesian product of closed operators in Hilbert spaces.