On dual definite subspaces in Krein space
A. Kamuda, S. Kuzhel, V. Sudilovskaya
TL;DR
This paper explores the structure of dual definite subspaces in Krein spaces, introducing new concepts like dual quasi maximal subspaces and quasi basis, and applies these findings to classify C-symmetries.
Contribution
It introduces the concepts of dual quasi maximal subspaces and quasi basis, and applies these to classify C-symmetries in Krein spaces.
Findings
Extensions of dual definite subspaces to maximal ones are characterized.
New concepts of dual quasi maximal subspaces and quasi basis are introduced.
Results are applied to the classification of C-symmetries.
Abstract
Extensions of dual definite subspaces to dual maximal definite ones are described. The concepts of dual quasi maximal subspaces and quasi basis are introduced and studied. The obtained results are applied to the classification of C-symmetries.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Geometric and Algebraic Topology · Elasticity and Wave Propagation