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.
1. Agler, J., McCarthy, J.E., Young, N.J.: Operator Analysis: Hilbert Space Methods in Complex Analysis, Cambridge Tracts in Mathematics Number 219. Cambridge University Press, Cambridge (2020)
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]
3. De Pillis, J.: Grassman algebras as Hilbert spaces. J. Algebra 10, 485–500 (1968)
4. Dixmier, J.: Operator Algebras in Hilbert Space (von Neumann Algebras). Èditions Jacques Gabay, Paris (1996). Reprint of the second (1969) edition
5. Greub, W.H.: Multilinear Algebra. Springer, Berlin (1967)
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