Complex interpolation of noncommutative Hardy spaces associated semifinite von Neumann algebra
Turdebek N. Bekjan, Kordan N. Ospanov
TL;DR
This paper explores complex interpolation of noncommutative Hardy spaces linked to semi-finite von Neumann algebras, extending Pisier's interpolation theorem to this broader context.
Contribution
It introduces an extension of Pisier's interpolation theorem to noncommutative Hardy spaces associated with semi-finite von Neumann algebras.
Findings
Extended Pisier's interpolation theorem to semi-finite von Neumann algebra setting
Established new interpolation results for noncommutative Hardy spaces
Broadened the theoretical framework for noncommutative harmonic analysis
Abstract
We studied complex interpolation noncommutative Hardy space associated with semi-finite von Neumann algebra and extend Pisier's interpolation theorem for this case.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Harmonic Analysis Research · Advanced Operator Algebra Research