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Dual Space: Mathematics, Vector space, Linear functional, Tensor, Tensor algebra, Measure (mathematics), Functional analysis, Topological vector ... (projective geometry), Pontryagin duality - Softcover

 
9786130279103: Dual Space: Mathematics, Vector space, Linear functional, Tensor, Tensor algebra, Measure (mathematics), Functional analysis, Topological vector ... (projective geometry), Pontryagin duality
Softcover
ISBN 10: 6130279108 ISBN 13: 9786130279103
Verlag: Alphascript Publishing, 2010

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, any vector space, V, has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V. Dual vector spaces defined on finite dimensional vector spaces can be used for defining tensors which are studied in tensor algebra. When applied to vector spaces of functions (which typically are infinite-dimensional), dual spaces are employed for defining and studying concepts like measures, distributions, and Hilbert spaces. Consequently, the dual space is an important concept in the study of functional analysis. There are two types of dual spaces: the algebraic dual space, and the continuous dual space. The algebraic dual space is defined for all vector spaces. When defined for a topological vector space there is a subspace of this dual space, corresponding to continuous linear functionals, which constitutes a continuous dual space. Contents

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Présentation de l'éditeur

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, any vector space, V, has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V. Dual vector spaces defined on finite dimensional vector spaces can be used for defining tensors which are studied in tensor algebra. When applied to vector spaces of functions (which typically are infinite-dimensional), dual spaces are employed for defining and studying concepts like measures, distributions, and Hilbert spaces. Consequently, the dual space is an important concept in the study of functional analysis. There are two types of dual spaces: the algebraic dual space, and the continuous dual space. The algebraic dual space is defined for all vector spaces. When defined for a topological vector space there is a subspace of this dual space, corresponding to continuous linear functionals, which constitutes a continuous dual space. Contents

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Alphascript Publishing
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
6130279108
ISBN 13 
9786130279103
Einband
Broché
Anzahl der Seiten
96
Herausgeber
Miller Frederic P., Vandome Agnes F., McBrewster John
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar