Contractively embedded invariant subspaces

2018/03/24 by Sushil Gorai, Jaydeb Sarkar, Gorai, Sushil +1
Mathematics · #46C07 #46E22 #47A13 #47A15 #47B32 #Advanced Operator Algebra Research #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1803.09073

openalex publication_date 2018/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper focuses on representations of contractively embedded invariant subspaces in several variables. We present a version of the de Branges theorem for n-tuples of multiplication operators by the coordinate functions on analytic reproducing kernel Hilbert spaces over the unit ball \mathbbBⁿ and the Hardy space over the unit polydics \mathbbDⁿ in ℂⁿ.

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