-
general version of the
closed graph theorem holds for
ultrabornological spaces.
Ultrabornological spaces were
introduced by
Alexander Grothendieck (Grothendieck...
-
finite product of
ultrabornological spaces is
ultrabornological.
Inductive limits of
ultrabornological spaces are
ultrabornological. Bornology – Mathematical...
-
complete Hausdorff locally convex spaces,
nuclear Montel spaces,
ultrabornological spaces,
reflexive barrelled Mackey spaces. If 1 ≤ p ≤ ∞, then 𝒮(Rn)...
-
formalism Theorem of
absolute purity Theorem on
formal functions Ultrabornological space Weil
conjectures Vector bundles on
algebraic curves Zariski's...
- José Bonet, J.,
Susanne Dierolf, The
pullback for
bornological and
ultrabornological spaces. Note Mat. 25(1), 63–67 (2005/2006).
Yaroslav Kopylov and Sven-Ake...
-
locally convex space that is
sequentially complete and
bornological is
ultrabornological.
Every complete space is
sequentially complete but not conversely...
- {\displaystyle Y} is a
webbed space and X {\displaystyle X} is an
ultrabornological space (such as a Fréchet
space or an
inductive limit of Fréchet spaces)...
-
which together with
completeness implies that
every LF-space is
ultrabornological. An LF-space that is the
inductive limit of a
countable sequence of...
- Bornology –
Mathematical generalization of
boundedness Space of
linear maps
Ultrabornological space Vector bornology Narici &
Beckenstein 2011, pp. 441–457. Narici...
- dual
spaces of both
these of spaces, are
complete nuclear Montel ultrabornological spaces,
which implies that all four of
these locally convex spaces...
