A Shift Operator on L(H²)

2006/12/06 by Yun-Su Kim, Kim, Yun-Su
Mathematics · #17C65 #42B30 #42B35 #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.math/0612166

openalex publication_date 2006/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give definitions and some properties of the shift operator S_L(H²) and multiplication operator on L(H²). In addition, we obtain some properties of the commutant of the shift operator S_L(H²) and characterize S_L(H²)-invariant subspaces.

Citations

• On two problems concerning linear transformations in hilbert space

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