Exterior Powers and Pointwise Creation Operators

Author:

Chiotis Dimitrios,Lykova Zinaida A.ORCID,Young N. J.ORCID

Abstract

AbstractWe develop a theory of pointwise wedge products of vector-valued functions on the circle and the disc, and obtain results which give rise to a new approach to the analysis of the matricial Nehari problem. We investigate properties of pointwise creation operators and pointwise orthogonal complements in the context of operator theory and the study of vector-valued analytic functions on the unit disc.

Funder

Newcastle Universit

Engineering and Physical Sciences Research Council

Newcastle University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Reference13 articles.

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2. Chiotis, D., Lykova, Z. A., Young, N. J.: Exterior Products of Operators and Superoptimal Analytic Approximation, p. 117 (2020). arXiv: 2004.06415 [math.FA]

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4. Dixmier, J.: Operator Algebras in Hilbert Space (von Neumann Algebras). Èditions Jacques Gabay, Paris (1996). Reprint of the second (1969) edition

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Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Exterior products of operators and superoptimal analytic approximation;Transactions of the London Mathematical Society;2021-10-09

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