Kernels of Hilbert Module Maps: A Counterexample
Operator Algebras
2023-08-21 v1
Abstract
Answering a long standing question, we give an example of a Hilbert module and a nonzero bounded right linear map having a kernel with trivial orthogonal complement. In particular, this kernel is different from its own double orthogonal complement.
Cite
@article{arxiv.2101.03030,
title = {Kernels of Hilbert Module Maps: A Counterexample},
author = {Jens Kaad and Michael Skeide},
journal= {arXiv preprint arXiv:2101.03030},
year = {2023}
}
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6 pages