Continuity of inner-outer factorization and cross sections from invariant subspaces to inner functions

DOI10.1016/J.JMAA.2024.128514zbMATH Open1548.3015MaRDI QIDQ6614344

Bingzhe Hou, Yue Xin

Publication date: 7 October 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

invariant subspacesinner-outer factorizationbounded analytic functions

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Inner functions of one complex variable (30J05)

Cites Work

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• Paths of inner-related functions
• A gentle guide to the basics of two projections theory
• Angles between infinite dimensional subspaces with applications to the Rayleigh-Ritz and alternating projectors methods
• Inner functions: noninvariant connected components
• Inner functions under uniform topology
• Inner functions invariant connected components
• Continuous factorization of functions in \(H^ p\)
• Perturbation theory for linear operators.
• On a topology for invariant subspaces
• Factorizations of outer functions and extremal problems
• Stable Rank and Approximation Theorems in H ∞

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