Indefinite Schwarz-Pick inequalities on the bidisk (application of Hilbert module theory)
Michio Seto
TL;DR
This paper develops indefinite Schwarz-Pick inequalities for holomorphic self-maps of the bidisk using spectral theory on Hilbert modules, extending classical results to an indefinite setting.
Contribution
It introduces a novel approach applying spectral theory on Hilbert modules to establish indefinite Schwarz-Pick inequalities for the bidisk.
Findings
Established indefinite Schwarz-Pick inequalities for the bidisk.
Applied spectral theory on Hilbert modules to complex analysis.
Extended classical inequalities to indefinite metric contexts.
Abstract
Indefinite Schwarz-Pick inequalities for holomorphic self-maps of the bidisk are given as application of the spectral theory on Hilbert modules.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Advanced Operator Algebra Research