Self-Adjoint : Mathematics, Star- Algebra, Involution, Functional Analysis, Linear Operator, Hilbert Space, Adjoint Operator, Self- Adjoint Operator

Language: English

Published by Omniscriptum, 2026

6131157081 / 9786131157080

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nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! In mathematics, an element x of a star-algebra is self-adjoint if x = x. A collection C of elements of a star-algebra is self-adjoint if it is closed under the involution operation. For example, if x = y then since y = x = x in a star-algebra, the set {x,y} is a self-adjoint set even though x and y need not be self-adjoint elements. In functional analysis, a linear operator A on a Hilbert space is called self-adjoint if it is equal to its own adjoint A . See self-adjoint operator for a detailed discussion. If the Hilbert space is finite-dimensional and an orthonormal basis has been chosen, then the operator A is self-adjoint if and only if the matrix describing A with respect to this basis is Hermitian, i.e. if it is equal to its own conjugate transpose. Hermitian matrices are also called self-adjoint.

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Bibliographic details

Title
Self-Adjoint : Mathematics, Star- Algebra, Involution, Functional Analysis, Linear Operator, Hilbert Space, Adjoint Operator, Self- Adjoint Operator
Author
Lambert M. Surhone
Publisher
Omniscriptum
Publication year
2026
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
6131157081
ISBN 13
9786131157080
Item weight
179 grams
Dimensions
220x150x7 mm

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