Author: Hidegorō Nakano
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 310
Book Description
Topology and Linear Topological Spaces
Author: Hidegorō Nakano
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 310
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 310
Book Description
Linear Topological Spaces
Author: John L. Kelley
Publisher:
ISBN: 9781258809751
Category :
Languages : en
Pages : 272
Book Description
Additional Contributors Are W. F. Donoghue, Jr., Kenneth R. Lucas. B. J. Pettis, Ebbe Thue Poulsen, G. Baley Price, Wendy Robertson, W. R. Scott, And Kennan T. Smith.
Publisher:
ISBN: 9781258809751
Category :
Languages : en
Pages : 272
Book Description
Additional Contributors Are W. F. Donoghue, Jr., Kenneth R. Lucas. B. J. Pettis, Ebbe Thue Poulsen, G. Baley Price, Wendy Robertson, W. R. Scott, And Kennan T. Smith.
Topology and Linear Topological Spaces
Author: Hidegorô Nakano
Publisher:
ISBN:
Category :
Languages : en
Pages : 281
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 281
Book Description
Linear Topological Spaces
Author: John L Kelley
Publisher: Hassell Street Press
ISBN: 9781013709616
Category :
Languages : en
Pages : 280
Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Publisher: Hassell Street Press
ISBN: 9781013709616
Category :
Languages : en
Pages : 280
Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Topological Vector Spaces I
Author: Gottfried Köthe
Publisher: Springer Science & Business Media
ISBN: 3642649882
Category : Mathematics
Languages : en
Pages : 470
Book Description
It is the author's aim to give a systematic account of the most im portant ideas, methods and results of the theory of topological vector spaces. After a rapid development during the last 15 years, this theory has now achieved a form which makes such an account seem both possible and desirable. This present first volume begins with the fundamental ideas of general topology. These are of crucial importance for the theory that follows, and so it seems necessary to give a concise account, giving complete proofs. This also has the advantage that the only preliminary knowledge required for reading this book is of classical analysis and set theory. In the second chapter, infinite dimensional linear algebra is considered in comparative detail. As a result, the concept of dual pair and linear topologies on vector spaces over arbitrary fields are intro duced in a natural way. It appears to the author to be of interest to follow the theory of these linearly topologised spaces quite far, since this theory can be developed in a way which closely resembles the theory of locally convex spaces. It should however be stressed that this part of chapter two is not needed for the comprehension of the later chapters. Chapter three is concerned with real and complex topological vector spaces. The classical results of Banach's theory are given here, as are fundamental results about convex sets in infinite dimensional spaces.
Publisher: Springer Science & Business Media
ISBN: 3642649882
Category : Mathematics
Languages : en
Pages : 470
Book Description
It is the author's aim to give a systematic account of the most im portant ideas, methods and results of the theory of topological vector spaces. After a rapid development during the last 15 years, this theory has now achieved a form which makes such an account seem both possible and desirable. This present first volume begins with the fundamental ideas of general topology. These are of crucial importance for the theory that follows, and so it seems necessary to give a concise account, giving complete proofs. This also has the advantage that the only preliminary knowledge required for reading this book is of classical analysis and set theory. In the second chapter, infinite dimensional linear algebra is considered in comparative detail. As a result, the concept of dual pair and linear topologies on vector spaces over arbitrary fields are intro duced in a natural way. It appears to the author to be of interest to follow the theory of these linearly topologised spaces quite far, since this theory can be developed in a way which closely resembles the theory of locally convex spaces. It should however be stressed that this part of chapter two is not needed for the comprehension of the later chapters. Chapter three is concerned with real and complex topological vector spaces. The classical results of Banach's theory are given here, as are fundamental results about convex sets in infinite dimensional spaces.
Partially Ordered Linear Topological Spaces
Author: Isaac Namioka
Publisher: American Mathematical Soc.
ISBN: 0821812246
Category : Generalized spaces
Languages : en
Pages : 56
Book Description
Publisher: American Mathematical Soc.
ISBN: 0821812246
Category : Generalized spaces
Languages : en
Pages : 56
Book Description
Topological Vector Spaces, Distributions and Kernels
Author:
Publisher: Academic Press
ISBN: 0080873375
Category : Mathematics
Languages : en
Pages : 583
Book Description
Topological Vector Spaces, Distributions and Kernels
Publisher: Academic Press
ISBN: 0080873375
Category : Mathematics
Languages : en
Pages : 583
Book Description
Topological Vector Spaces, Distributions and Kernels
Topological Spaces
Author: Gerard Buskes
Publisher: Springer Science & Business Media
ISBN: 1461206650
Category : Mathematics
Languages : en
Pages : 321
Book Description
gentle introduction to the subject, leading the reader to understand the notion of what is important in topology with regard to geometry. Divided into three sections - The line and the plane, Metric spaces and Topological spaces -, the book eases the move into higher levels of abstraction. Students are thereby informally assisted in learning new ideas while remaining on familiar territory. The authors do not assume previous knowledge of axiomatic approach or set theory. Similarly, they have restricted the mathematical vocabulary in the book so as to avoid overwhelming the reader, and the concept of convergence is employed to allow students to focus on a central theme while moving to a natural understanding of the notion of topology. The pace of the book is relaxed with gradual acceleration: the first nine sections form a balanced course in metric spaces for undergraduates while also containing ample material for a two-semester graduate course. Finally, the book illustrates the many connections between topology and other subjects, such as analysis and set theory, via the inclusion of "Extras" at the end of each chapter presenting a brief foray outside topology.
Publisher: Springer Science & Business Media
ISBN: 1461206650
Category : Mathematics
Languages : en
Pages : 321
Book Description
gentle introduction to the subject, leading the reader to understand the notion of what is important in topology with regard to geometry. Divided into three sections - The line and the plane, Metric spaces and Topological spaces -, the book eases the move into higher levels of abstraction. Students are thereby informally assisted in learning new ideas while remaining on familiar territory. The authors do not assume previous knowledge of axiomatic approach or set theory. Similarly, they have restricted the mathematical vocabulary in the book so as to avoid overwhelming the reader, and the concept of convergence is employed to allow students to focus on a central theme while moving to a natural understanding of the notion of topology. The pace of the book is relaxed with gradual acceleration: the first nine sections form a balanced course in metric spaces for undergraduates while also containing ample material for a two-semester graduate course. Finally, the book illustrates the many connections between topology and other subjects, such as analysis and set theory, via the inclusion of "Extras" at the end of each chapter presenting a brief foray outside topology.
Linear Topological Spaces
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Topological Vector Spaces
Author: Alex P. Robertson
Publisher: CUP Archive
ISBN: 9780521298827
Category : Mathematics
Languages : en
Pages : 186
Book Description
Publisher: CUP Archive
ISBN: 9780521298827
Category : Mathematics
Languages : en
Pages : 186
Book Description