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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Locally Convex Cones: A Generalization of Locally Convex Topological Vector Spaces

Locally Convex Cones: A Generalization of Locally Convex Topological Vector Spaces

Roth, Walter

Paperback

Series: de Gruyter Textbook

General Mathematics

Currently unavailable to order

ISBN10: 3112232100
ISBN13: 9783112232101
Publisher: de Gruyter
Published: Jun 1 2026
Pages: 442
Language: English

Locally convex cones were proposed for applications in approximation theory but have matured into a mathematical theory. The aim of this book is to offer a coherent presentation of its basic principles and later developments and to establish a consistent reference source.


The build of the theory is modelled after the cone of convex subsets of a locally convex vector space. It does not satisfy the cancellation law and cannot be embedded into a vector space. The topology of the vector space leads to the definition of three cone topologies. Similar settings occur in integration theory, potential theory, and other mathematical areas. Locally convex topological vector spaces are special cases of locally convex cones.

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