The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are known to be true for certain abelian topological groups that are not locally compact. The book sets out to present in a systematic way the existing material. It is based on the original notion of a nuclear group, which includes LCA groups and nuclear locally convex spaces together with their additive subgroups, quotient groups and products. For (metrizable, complete) nuclear groups one obtains analogues of the Pontryagin ...
Read More
The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are known to be true for certain abelian topological groups that are not locally compact. The book sets out to present in a systematic way the existing material. It is based on the original notion of a nuclear group, which includes LCA groups and nuclear locally convex spaces together with their additive subgroups, quotient groups and products. For (metrizable, complete) nuclear groups one obtains analogues of the Pontryagin duality theorem, of the Bochner theorem and of the L???vy-Steinitz theorem on rearrangement of series (an answer to an old question of S. Ulam). The book is written in the language of functional analysis. The methods used are taken mainly from geometry of numbers, geometry of Banach spaces and topological algebra. The reader is expected only to know the basics of functional analysis and abstract harmonic analysis.
Read Less
Add this copy of Additive Subgroups of Topological Vector Spaces to cart. $22.53, new condition, Sold by Media Smart rated 4.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 1991 by Springer.
Add this copy of Additive Subgroups of Topological Vector Spaces to cart. $31.20, new condition, Sold by discount_scientific_books rated 3.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 1991 by Springer.
Add this copy of Additive Subgroups of Topological Vector Spaces to cart. $37.53, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1991 by Springer.
Add this copy of Additive Subgroups of Topological Vector Spaces to cart. $37.92, very good condition, Sold by Hay-on-Wye Booksellers rated 4.0 out of 5 stars, ships from Hereford, UNITED KINGDOM, published 1991 by Springer.
Add this copy of Additive Subgroups of Topological Vector Spaces to cart. $61.52, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1991 by Springer.
Add this copy of Additive Subgroups of Topological Vector Spaces to cart. $70.30, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1991 by Springer Verlag.
