Topological Vector Spaces and Their Applications

V. I. Bogachev

ISBN 10: 3319571168 / ISBN 13: 9783319571164

Editore: Springer, Palgrave Macmillan, 2017

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Druck auf Anfrage Neuware - Printed after ordering - This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.

Codice articolo 9783319571164

Dati bibliografici

• Titolo: Topological Vector Spaces and Their Applications
• Editore: Springer, Palgrave Macmillan
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 3319571168
• ISBN 13: 9783319571164
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 241 L x 160 A x 31 P (millimetri) 241 millimetri di larghezza per 160 millimetri di altezza per 31 millimetri di profondità
• Peso: 863 grammi

Descrizione articolo

Riassunto

This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces.                                                                                                     

The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.

Informazioni sull'autore

Vladimir Bogachev, born in 1961, Professor at the Department of Mechanics and Mathematics of Lomonosov Moscow State University and at the Faculty of Mathematics of the Higher School of Economics (Moscow, Russia) is an expert in measure theory and infinite-dimensional analysis and the author of more than 200 papers and 12 monographs, including his famous two-volume treatise "Measure theory" (Springer, 2007), "Gaussian measures" (AMS, 1997), "Differentiable measures and the Malliavin calculus" (AMS, 2010), "Fokker-Planck-Kolmogorov equations" (AMS, 2015), and others. An author with a high citation index (h=31 with more than 4700 citations according to the Google Scholar), Vladimir Bogachev solved several long-standing problems in measure theory and Fokker-Planck-Kolmogorov equations. 

Oleg Smolyanov, born in 1938, Professor at the Department of Mechanics and Mathematics of Lomonosov Moscow State University is an expert in topological vector spaces and infinite-dimensional analysis and author of more than 200 papers and 5 monographs. Oleg Smolyanov solved several long-standing problems in the theory of topological vector spaces.