LB-space
http://dbpedia.org/resource/LB-space
In mathematics, an LB-space, also written (LB)-space, is a topological vector space that is a locally convex inductive limit of a countable inductive system of Banach spaces. This means that is a direct limit of a direct system in the category of locally convex topological vector spaces and each is a Banach space.
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(LB)-Raum
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LB-space
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63848931
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1045995141
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In mathematics, an LB-space, also written (LB)-space, is a topological vector space that is a locally convex inductive limit of a countable inductive system of Banach spaces. This means that is a direct limit of a direct system in the category of locally convex topological vector spaces and each is a Banach space. If each of the bonding maps is an embedding of TVSs then the LB-space is called a strict LB-space. This means that the topology induced on by is identical to the original topology on Some authors (e.g. Schaefer) define the term "LB-space" to mean "strict LB-space," so when reading mathematical literature, its recommended to always check how LB-space is defined.
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9890