Contractively embedded invariant subspaces

Sushil Gorai; Jaydeb Sarkar

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arXiv · 1803.09073

Contractively embedded invariant subspaces

Sushil Gorai·Jaydeb Sarkar

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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 $\mathbb{C}^n$.

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Sushil Gorai, Jaydeb Sarkar. 2018-03-24. Contractively embedded invariant subspaces. https://arxiv.org/abs/1803.09073

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