Locally Convex Spaces

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Group Theory
Cover of the book Locally Convex Spaces by M. Scott Osborne, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: M. Scott Osborne ISBN: 9783319020457
Publisher: Springer International Publishing Publication: November 8, 2013
Imprint: Springer Language: English
Author: M. Scott Osborne
ISBN: 9783319020457
Publisher: Springer International Publishing
Publication: November 8, 2013
Imprint: Springer
Language: English

For most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research. This graduate text, while focusing on locally convex topological vector spaces, is intended to cover most of the general theory needed for application to other areas of analysis. Normed vector spaces, Banach spaces, and Hilbert spaces are all examples of classes of locally convex spaces, which is why this is an important topic in functional analysis.

While this graduate text focuses on what is needed for applications, it also shows the beauty of the subject and motivates the reader with exercises of varying difficulty. Key topics covered include point set topology, topological vector spaces, the Hahn–Banach theorem, seminorms and Fréchet spaces, uniform boundedness, and dual spaces. The prerequisite for this text is the Banach space theory typically taught in a beginning graduate real analysis course.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

For most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research. This graduate text, while focusing on locally convex topological vector spaces, is intended to cover most of the general theory needed for application to other areas of analysis. Normed vector spaces, Banach spaces, and Hilbert spaces are all examples of classes of locally convex spaces, which is why this is an important topic in functional analysis.

While this graduate text focuses on what is needed for applications, it also shows the beauty of the subject and motivates the reader with exercises of varying difficulty. Key topics covered include point set topology, topological vector spaces, the Hahn–Banach theorem, seminorms and Fréchet spaces, uniform boundedness, and dual spaces. The prerequisite for this text is the Banach space theory typically taught in a beginning graduate real analysis course.

More books from Springer International Publishing

Cover of the book HRM in Mission Driven Organizations by M. Scott Osborne
Cover of the book Estuaries: A Lifeline of Ecosystem Services in the Western Indian Ocean by M. Scott Osborne
Cover of the book Regional Energy Demand and Energy Efficiency in Japan by M. Scott Osborne
Cover of the book The Nanoscale Optical Properties of Complex Nanostructures by M. Scott Osborne
Cover of the book System Modeling and Optimization by M. Scott Osborne
Cover of the book Clinical Image-Based Procedures. Translational Research in Medical Imaging by M. Scott Osborne
Cover of the book Hospital-Based Health Technology Assessment by M. Scott Osborne
Cover of the book The Making of Resistance by M. Scott Osborne
Cover of the book Compilation for Secure Multi-party Computation by M. Scott Osborne
Cover of the book Pragmemes and Theories of Language Use by M. Scott Osborne
Cover of the book Functional Numerical Methods: Applications to Abstract Fractional Calculus by M. Scott Osborne
Cover of the book The Lived Experience of Climate Change by M. Scott Osborne
Cover of the book All-Optical Signal Processing by M. Scott Osborne
Cover of the book Mathematical Analysis, Probability and Applications – Plenary Lectures by M. Scott Osborne
Cover of the book Revisiting EFL Assessment by M. Scott Osborne
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy