Hilbert spaces : properties and applications / Le Bin Ho, editor.

Format:

Book

Contributor:

Ho, Le Bin, editor.

Series:

Mathematics research developments series.

Mathematics research developments series

Language:

English

Subjects (All):

Hilbert space.

Physical Description:

1 online resource (198 pages).

Place of Publication:

New York : Nova Science Publishers, [2020]

Summary:

"This collective book presents selected topics in the modern research of Hilbert space. Throughout this book, various mathematical properties of the Hilbert space and extended Hilbert space are given, accompanied by reliable solutions and exciting applications to scientific and engineering problems. It first provides some general viewpoints on convex sets, projections, and orthogonality in Hilbert spaces and then focuses on the mild solutions, the stability, and the controllability of various classes of differential equations in Hilbert spaces and applications. It also is devoted to a discussion of the extended Hilbert space, including the hypercomplex Hilbert space, the Bargmann-Hilbert space, and the enlarged Hilbert space where various mathematical and physical applications are given. A reduced Hilbert space for model Hamiltonians is also given. Together, the book presents to readers a picture of the modern theory of Hilbert space in its complexness and usefulness. The book is accessible for graduate students and could be served as a reference for scholars"-- Provided by publisher.

Contents:

Some considerations on orthogonality, strict separation theorems and applications in Hilbert spaces / Manuel Alberto M. Ferreira

Solution estimates for autonomous differential equations in a Hilbert space with several delays / Michael Gil'

Controllability of quasi-linear evolution differential system in a separable Banach space / Bheeman Radhakrishnan

Derivations of operator algebras on hypercomplex Hilbert spaces and related modules / S.V. Ludkowski

On analytic solutions of the driven, 2-photon and two-mode quantum Rabi models / Yao-Zhong Zhang

Hilbert space of model Hamiltonians / Medha Sharma

Enlarged Hilbert spaces and applications in quantum physics / Le Bin Ho.

Notes:

Description based on print version record.

Includes bibliographical references and index.

ISBN:

1-5361-6643-X