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topological vector space
(redirected from Topological vector spaces)

   Also found in: Wikipedia 0.01 sec.
topological vector space [‚täp·ə¦läj·ə·kəl ′vek·tər ‚spās]
(mathematics)
A vector space which has a topology with the property that vector addition and scalar multiplication are continuous functions. Also known as linear topological space; topological linear space.


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Their topics include contraction mappings, fixed point theorems in partially ordered sets, topological fixed point theorems, variational and quasivariational inequalities in topological vectors spaces and generalized games, best approximations and fixed point theorems for set-valued mappings in topological vector spaces, degree theories for set-valued mappings, and nonexpansive types of mappings and fixed-point theorems in locally convex topological vector spaces.
Treves, Topological Vector Spaces, Distributions and Kernels, Academic Press, New York, 1967.
9781600217197 Invariant and quasiinvariant measures in infinite-dimensional topological vector spaces.
 
 
 
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