# Operator Algebras Generated by Left Invertibles

@article{DeSantis2019OperatorAG, title={Operator Algebras Generated by Left Invertibles}, author={Derek DeSantis}, journal={arXiv: Operator Algebras}, year={2019} }

Operator algebras generated by partial isometries and their adjoints form the basis for some of the most well studied classes of C*-algebras. Motivated by questions from linear equations in Hilbert spaces (frame theory), we instigate a research program on concrete operator algebras that arise from directed graphs. In this paper, we consider the norm-closed operator algebra $\mathfrak{A}_T$ generated by a left invertible $T$ together with its Moore-Penrose inverse $T^\dagger$. In the isometric… Expand

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