Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Indefinite Halmos, Egervary and Sz.-Nagy Dilations

Version 1 : Received: 27 September 2022 / Approved: 29 September 2022 / Online: 29 September 2022 (02:48:49 CEST)

How to cite: KRISHNA, K.M. Indefinite Halmos, Egervary and Sz.-Nagy Dilations. Preprints 2022, 2022090438. https://doi.org/10.20944/preprints202209.0438.v1 KRISHNA, K.M. Indefinite Halmos, Egervary and Sz.-Nagy Dilations. Preprints 2022, 2022090438. https://doi.org/10.20944/preprints202209.0438.v1

Abstract

Dilation of contractions on Hilbert space and Banach space is classical. Recently, dilations theory has been put in the setting of sets, vector spaces, p-adic Hilbert spaces and modules. In this paper, we derive important dilation results for self-adjoint morphisms on indefinite inner product modules over *-rings of characteristic 2. More precisely, we prove indefinite inner product versions of Halmos dilation, Egervary N-dilation and Sz.-Nagy dilation.

Keywords

Dilation; Indefinite inner product space; Module

Subject

Computer Science and Mathematics, Algebra and Number Theory

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