Pairs of inner projections and two applications

Article Type

Research Article

Publication Title

Journal of Functional Analysis

Abstract

Orthogonal projections onto closed subspaces of H2(Dn) of the form φH2(Dn) for inner functions φ on Dn are referred to as inner projections, where H2(Dn) denotes the Hardy space over the open unit polydisc Dn. In this paper, we classify pairs of commuting inner projections. We also present two seemingly independent applications: the first is an answer to a question posed by R. G. Douglas, and the second is a complete classification of partially isometric truncated Toeplitz operators with inner symbols on Dn.

DOI

10.1016/j.jfa.2023.110216

Publication Date

1-15-2024

Comments

Open Access; Green Open Access

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