Contractively embedded invariant subspaces

Sushil Gorai; Jaydeb Sarkar

Contractively embedded invariant subspaces

Functional Analysis 2018-03-28 v1 Complex Variables Operator Algebras

Authors: Sushil Gorai , Jaydeb Sarkar

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 subspace theory hardy spaces operator theory on hilbert spaces

Cite

@article{arxiv.1803.09073,
  title  = {Contractively embedded invariant subspaces},
  author = {Sushil Gorai and Jaydeb Sarkar},
  journal= {arXiv preprint arXiv:1803.09073},
  year   = {2018}
}

Comments

14 pages. To appear in Operator Theory Advances and Applications (Special volume honoring Joe Ball)

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