Interpolating sequences for pairs of spaces
Georgios Tsikalas
TL;DR
This paper characterizes interpolating sequences for pairs of reproducing kernel spaces, specifically when one is a complete Pick factor of the other, answering a previously open question in the field.
Contribution
It provides a complete characterization of interpolating sequences for pairs of spaces with a specific kernel factorization, advancing understanding in functional analysis.
Findings
Characterization of interpolating sequences for pairs of reproducing kernel spaces
Resolution of an open question by Aleman, Hartz, McCarthy, and Richter
New insights into kernel factorization and interpolation theory
Abstract
We characterize interpolating sequences for pairs of reproducing kernels , where is a complete Pick factor of This answers a question of Aleman, Hartz, McCarthy and Richter.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Banach Space Theory · Advanced Harmonic Analysis Research