Exterior powers and pointwise creation operators
Abstract
We 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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2020
- DOI:
- 10.48550/arXiv.2004.11993
- arXiv:
- arXiv:2004.11993
- Bibcode:
- 2020arXiv200411993C
- Keywords:
-
- Mathematics - Complex Variables;
- 15A75;
- 47B35;
- 30J99
- E-Print:
- 24 pages. This version includes minor revisions. It has been accepted by Complex Analysis and Operator Theory. arXiv admin note: text overlap with arXiv:2004.06415