The adjoint of an operator on a Banach space

Author:

García-Pacheco Francisco JavierORCID

Abstract

AbstractSelf-adjoint operators in smooth Banach spaces have been already defined in recent works. Here, we extend the concept of adjoint of an operator to the scope of (non-necessarily Hilbert) Banach spaces, obtaining in particular the notion of self-adjoint operator in the non-smooth case. As a consequence, we define the probability density operator on Banach spaces and verify most of its well-known properties.

Funder

Ministerio de Ciencia e Innovacióón

Consejería de Economía, Conocimiento, Empresas y Universidad, Junta de Andalucía

Universidad de Cadiz

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

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