Halmos two projections theorem and some of its applications

Qingxiang Xu 许庆祥  (Shanghai Normal University)

15:20-16:10, March 15, 2019   Science Building A510

Abstract:

Halmos two projections theorem for Hilbert space operators is one of the fundamental results in operator theory. In this talk, we will focus on its generalization to the Hilbert C*-module case and its application in clarifying the Friedrichs angle between two closed submodules. Based on some new characterizations of the closed submodules and their associated projections, we will introduce a new term of isolated idempotents. Some properties of the isolated idempotents will be presented.

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