On the completed hull of non-degenerate inner product spaces
Timo Hofmann
Leipzig University, Germany
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Abstract
Motivated by applications to general QFT, the completed hulls of non-degenerate inner product spaces are considered. In order to decide whether or not endowed with the continuously extended inner product is non-degenerate, the concept of c-linked l.c. topologies is introduced, and it is shown that is non-degenerate if and only if is c-linked to some minimal majorant. Further, the concepts of quasi-decomposable inner product spaces and quasi-decomposition norms are introduced, and it is shown that is a Krein space.
Cite this article
Timo Hofmann, On the completed hull of non-degenerate inner product spaces. Z. Anal. Anwend. 42 (2023), no. 3/4, pp. 307–329
DOI 10.4171/ZAA/1740