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arXiv · 1608.05737

Geometric significance of Toeplitz kernels

Esteban Andruchow·Eduardo Chiumiento·Gabriel Larotonda
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Abstract

Let $L^2$ be the Lebesgue space of square-integrable functions on the unit circle. We show that the injectivity problem for Toeplitz operators is linked to the existence of geodesics in the Grassmann manifold of $L^2$. We also investigate this connection in the context of restricted Grassmann manifolds associated to $p$-Schatten ideals and essentially commuting projections.

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Esteban Andruchow, Eduardo Chiumiento, Gabriel Larotonda. 2016-08-19. Geometric significance of Toeplitz kernels. https://arxiv.org/abs/1608.05737

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