Idempotent, model, and Toeplitz operators attaining their norms

Authors

Neeru Bala, Indian Institute of Technology Bombay
Kousik Dhara, Indian Statistical Institute Bangalore
Jaydeb Sarkar, Indian Statistical Institute Bangalore
Aryaman Sensarma, Indian Statistical Institute Bangalore

Article Type

Research Article

Publication Title

Linear Algebra and Its Applications

Abstract

We study idempotent, model, and Toeplitz operators that attain the norm. Notably, we prove that if Q is a backward shift invariant subspace of the Hardy space H2(D), then the model operator SQ attains its norm. Here SQ=PQMz|Q, the compression of the shift Mz on the Hardy space H2(D) to Q.

First Page

150

Last Page

165

DOI

10.1016/j.laa.2021.03.032

Publication Date

8-1-2021

Comments

Open Access, Green

Recommended Citation

Bala, Neeru; Dhara, Kousik; Sarkar, Jaydeb; and Sensarma, Aryaman, "Idempotent, model, and Toeplitz operators attaining their norms" (2021). Journal Articles. 1865.
https://digitalcommons.isical.ac.in/journal-articles/1865