counterexamples in topological vector spaces lecture notes in mathematics

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Counterexamples In Topological Vector Spaces

Author : S.M. Khaleelulla
ISBN : 9783540392682
Genre : Mathematics
File Size : 22. 31 MB
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Semitopological Vector Spaces

Author : Mark Burgin
ISBN : 9781771885355
Genre : Mathematics
File Size : 47. 32 MB
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This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics, physics, information theory, and control theory. The book describes new mathematical structures, such as hypernorms, hyperseminorms, hypermetrics, semitopological vector spaces, hypernormed vector spaces, and hyperseminormed vector spaces. It develops mathematical tools for the further development of functional analysis and broadening of its applications. Exploration of semitopological vector spaces, hypernormed vector spaces, hyperseminormed vector spaces, and hypermetric vector spaces is the main topic of this book. A new direction in functional analysis, called quantum functional analysis, has been developed based on polinormed and multinormed vector spaces and linear algebras. At the same time, normed vector spaces and topological vector spaces play an important role in physics and in control theory. To make this book comprehendible for the reader and more suitable for students with some basic knowledge in mathematics, denotations and definitions of the main mathematical concepts and structures used in the book are included in the appendix, making the book useful for enhancing traditional courses of calculus for undergraduates, as well as for separate courses for graduate students. The material of Semitopological Vector Spaces: Hypernorms, Hyperseminorms and Operators is closely related to what is taught at colleges and universities. It is possible to use a definite number of statements from the book as exercises for students because their proofs are not given in the book but left for the reader.

Int Grales Exponentielles

Author : Edmond Combet
ISBN : 038711565X
Genre : Asymptotic expansions
File Size : 34. 96 MB
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Acta Scientiarum Mathematicarum

Author :
ISBN : UCAL:B3689418
Genre : Mathematics
File Size : 28. 20 MB
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Topological Vector Spaces And Their Applications

Author : Vladimir I. Bogachev
ISBN : 9783319571171
Genre : Mathematics
File Size : 38. 50 MB
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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.

Journal Of Natural Sciences And Mathematics

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ISBN : UOM:39015056608089
Genre : Science
File Size : 27. 43 MB
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Encyclopaedia Of Mathematics

Author : M. Hazewinkel
ISBN : 9781489937933
Genre : Mathematics
File Size : 53. 72 MB
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Studia Scientiarum Mathematicarum Hungarica

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ISBN : UOM:39015046571470
Genre : Mathematics
File Size : 38. 25 MB
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Analyticity In Infinite Dimensional Spaces

Author : Michel Hervé
ISBN : 9783110856941
Genre : Mathematics
File Size : 45. 94 MB
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The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Revue Roumaine De Math Matiques Pures Et Applique S

Author :
ISBN : UVA:X001801990
Genre : Mathematics
File Size : 75. 93 MB
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