Definition of Bornological. Meaning of Bornological. Synonyms of Bornological

- 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...
- examples are the following. The category of (possibly non-Hausdorff) bornological spaces is semiabelian. Let Q {\displaystyle Q} be the quiver 1 → 2 ←...
- 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...
- {\displaystyle C_{c}^{\infty }(U)} into a complete reflexive nuclear Montel bornological barrelled Mackey space; the same is true of its strong dual space (that...
- space is barrelled, quasi-ultrabarrelled space, and a bornological space but there exist bornological spaces that are not ultrabornological. Every ultrabornological...