We present a set-theoretic version of some basic dilation results of operator theory. The results we have considered are Wold decomposition, Halmos dilation, Sz. Nagy dilation, inter-twining lifting, commuting and non-commuting dilations, BCL theorem, etc. We point out some natural generalizations and variations.
Advances in Operator Theory – Springer Journals
Published: Aug 5, 2021
Keywords: Dilation; Isometries; Injective maps; Operator theory; 47A20; 04A05