Mgkrupa: Added info
In [[functional analysis]], a [[locally convex]] [[topological vector space]] (TVS) is said to be '''infrabarreled''' if every [[bounded]] [[absorbing set|absorbing]] [[barreled space|barrel]] is a neighborhood of the origin.
== Properties ==
* Every [[quasi-complete]] infrabarreled space is barreled.
== Examples ==
* Every [[barreled space]] is infrabarreled.
* Every product and locally convex direct sum of any family of infrabarreled spaces is infrabarreled.
* Every [[Hausdorff space|separated]] quotient of an infrabarreled space is infrabarreled.
A closed vector subspace of an infrabarreled space is, however, not necessarily infrabarreled.
== See also ==
* [[Barreled space]]
== References ==
* <!-- -->
* <!-- -->
* <!-- -->
<!--- Categories --->
Liquid error: wrong number of arguments (given 1, expected 2)
== Properties ==
* Every [[quasi-complete]] infrabarreled space is barreled.
== Examples ==
* Every [[barreled space]] is infrabarreled.
* Every product and locally convex direct sum of any family of infrabarreled spaces is infrabarreled.
* Every [[Hausdorff space|separated]] quotient of an infrabarreled space is infrabarreled.
A closed vector subspace of an infrabarreled space is, however, not necessarily infrabarreled.
== See also ==
* [[Barreled space]]
== References ==
* <!-- -->
* <!-- -->
* <!-- -->
<!--- Categories --->
Liquid error: wrong number of arguments (given 1, expected 2)
from Wikipedia - New pages [en] https://ift.tt/2zAXEmR
via IFTTT
No comments:
Post a Comment