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Contractively Embedded Invariant Subspaces

  • Sushil GoraiEmail author
  • Jaydeb Sarkar
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 272)

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 \(\mathbb{B}^{n}\) and the Hardy space over the unit polydics \(\mathbb{D}^{n}\) in \(\mathbb{C}^{n}\).

Keywords

Invariant subspaces de Branges–Rovnyak spaces Hardy space reproducing kernel Hilbert spaces multipliers bounded analytic functions 

Mathematics Subject Classification (2010)

Primary 46C07 46E22 47A13 Secondary 47A15 47B32 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsIndian Institute of Science Education and Research KolkataMohanpurIndia
  2. 2.Indian Statistical InstituteStatistics and Mathematics UnitBangaloreIndia

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