Complete L-regularity is internally characterized in terms of separating chains of open L-sets. A possible characterization in terms of normal and separating families of closed L-sets is discussed and it is shown that spaces admitting such families are completely L-regular. The question of whether t
More on regular linear spaces
β Scribed by Anton Betten; Dieter Betten
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 157 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
β¦ Synopsis
We extend the enumeration of regular linear spaces in [1] to at most 19 points. In addition, one of the 5 missing cases in the previous list is settled. The number of regular linear spaces of type Γ°15j2 15 ; 3 30
π SIMILAR VOLUMES
Let H be a real or complex Hilbert space, and let ) 0. A functional f on H is < Ε½ . Ε½ . Ε½ .< called an -approximately linear functional if f x q y y f x y f y F Ε½< < 5 5 < < 5 5. x q y for all scalars , and all vectors x, y g H. If such a functional f is bounded then there exists a continuous linea
## Abstract We prove, in ZFC alone, some new results on regularity and decomposability of ultrafilters; among them: (a) If __m__ β₯ 1 and the ultrafilter __D__ is (~__m__~(__Ξ»__^+__n__^), ~__m__~(__Ξ»__^+__n__^))βregular, then __D__ is __ΞΊ__ βdecomposable for some __ΞΊ__ with __Ξ»__ β€ __ΞΊ__ β€ 2^__Ξ»__^
## Abstract We present bounded positivity preserving operators from __L__~__p__~(β) to __L__~__q__~ (__β__), for 1 < __p__ < β, 1/pβ1/q < 1/2, which are not integral operators.