Definition of Bornological. Meaning of Bornological. Synonyms of Bornological

Here you will find one or more explanations in English for the word Bornological. Also in the bottom left of the page several parts of wikipedia pages related to the word Bornological and, of course, Bornological synonyms and on the right images related to the word Bornological.

Definition of Bornological

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Meaning of Bornological from wikipedia

- address questions of continuity. Bornological spaces are distinguished by the property that a linear map from a bornological space into any locally convex...
- equivalent to Lipschitz continuity in this context. If the domain is a bornological space (for example, a pseudometrizable TVS, a Fréchet space, a normed...
- One of the key motivations behind bornologies and bornological analysis is the fact that bornological spaces provide a convenient setting for homological...
- spaces. The category of Fréchet spaces. The category of (Hausdorff) bornological spaces. These will give you an idea of what to think of; for more examples...
- convex space will be continuous if its domain is (pseudo)metrizable or bornological. Guaranteeing that "continuous" implies "bounded on a neighborhood" A...
- set families are independence systems, greedoids, antimatroids, and bornological spaces. Algebra of sets – Identities and relationships involving sets...
- is a Fréchet space. The strong dual of a reflexive Fréchet space is a bornological space and a Ptak space. Every Fréchet space is a Ptak space. The strong...
- space is barrelled, quasi-ultrabarrelled space, and a bornological space but there exist bornological spaces that are not ultrabornological. Every ultrabornological...
- X {\displaystyle \operatorname {id} _{X}:X\to X} is locally bounded. Bornological space – Space where bounded operators are continuous Bounded operator –...
- {\displaystyle X} is barrelled. The strong dual of X {\displaystyle X} is bornological. Every quasi-complete infrabarrelled space is barrelled. A locally convex...