Hermitian kernels, Hilbert $Q$-modules and Ando dilation

PASEKA, Jan. Hermitian kernels, Hilbert $Q$-modules and Ando dilation. In Contributions to General Algebra, Proceedings of the 58th Workshop on General Algebra 1999. 1st ed. Klagenfurt: Verlag Johannes Heyn, 2000, p. 317-335.

Basic information

• Original name: Hermitian kernels, Hilbert $Q$-modules and Ando dilation
• Authors: PASEKA, Jan (203 Czech Republic, guarantor).
• Edition: 1. vyd. Klagenfurt, Contributions to General Algebra, Proceedings of the 58th Workshop on General Algebra 1999, p. 317-335, 2000.
• Publisher: Verlag Johannes Heyn

Other information

• Original language: English
• Type of outcome: Proceedings paper
• Field of Study: 10101 Pure mathematics
• Country of publisher: Germany
• Confidentiality degree: is not subject to a state or trade secret
• RIV identification code: RIV/00216224:14310/00:00002343
• Organization unit: Faculty of Science
• Keywords in English: Hermitian kernel; Hilbert Q-module; Ando dilation
• Tags: Ando dilation, Hermitian kernel, Hilbert Q-module

Abstract

A theory of hermitian kernels in the context of Hilbert Q-modules is presented. Applications are given, including an extension of the generalized Naimark dilation theorem and the KSGNS construction for Hilbert Q-modules and dilations of isometric representations.

Links

• GA201/99/0310, research and development project: Name: Kategoriální metody teorie struktur a informatiky

Investor: Czech Science Foundation, Categorical methods of the theory of structures and computer science

• MSM 143100009, plan (intention): Name: Matematické struktury algebry a geometrie

Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures of algebra and geometry