Projections onto continuous function spaces

@inproceedings{Amir1964ProjectionsOC,
  title={Projections onto continuous function spaces},
  author={Dan Amir},
  year={1964}
}
  • D. Amir
  • Published 1 March 1964
  • Mathematics
View via Publisher
ams.org
41 Citations
Highly Influential Citations
8
Background Citations
13
Methods Citations
6
Results Citations
4

41 Citations

Citation Type

Citation Type

Separably Injective Banach Spaces
Isomorphism problems for the Baire classes.
Basis problem for analytic multiple gaps
A k-gap is a finite k-sequence of pairwise disjoint monotone families of infinite subsets of N mixed in such a way that we cannot find a partition of N such that each family is trival on one piece of…
On separably injective Banach spaces and Corrigendum to "On separably injective Banach spaces" [Adv. Math. 234 (2013) 192--216]
Multiple gaps
We study a higher-dimensional version of the standard notion of a gap formed by a finite sequence of ideals of the quotient algebra P(ω)/fin. We examine different types of such objects found in…
Averaging operators on normed köthe spaces
SummaryUnder study is the existence of averaging operators determined by measurable maps φ from a measure space (S, Σ, μ) into an arbitrary Hausdorff topological space T. The map φ induces a…
An introduction to multiple gaps
This is an introductory article to the theory of multiple gaps. Mathematics Subject Classification (2010): Primary: 03E15, 28A05, 05D10; Secondary: 46B15
Banach spaces in various positions
Splitting chains, tunnels and twisted sums
We study splitting chains in $$\mathcal{P}(\omega)$$ P ( ω ) , that is, families of subsets of ω which are linearly ordered by ⊆* and which are splitting. We prove that their existence is independent…
A Primer on Injective Banach Spaces
To put in a proper context the results in this monograph it will be useful to keep in mind the theory of injective spaces and the general theory of \(\mathcal{L}_{\infty }\)-spaces. In this way one…
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 13 REFERENCES
Semadeni, Spaces of continuous functions
  • Ill, Studia Math
  • 1959
THE EXTENSION PROPERTY OF COMPLEX BANACH SPACES
Homogeneity Problems in the Theory of Čech Compactifications
If X is a completely regular topological space, there exists a space sX, the so-called Cech compactification of X, which is characterized by the following three properties: sX is a compact…
Projection constants and spaces of continuous functions
1. Theorems. A real Banach space X will be called injective(2) if for every Banach space Y and subspace YO, every linear operation(') To : YO -* X can be extended to a linear operation T : Y-* X. An…
Semadeni, Projection constants and spaces of continuous functions
  • Trans. Amer. Math. Soc
  • 1963
Continuous functions' spaces with the bounded extension property
  • Bull. Res. Council Israel Sect. F
  • 1962
Spaces of continuous functions (III) (Spaces C(Ω) for Ω without perfect subsets)
Sur les applications linéaires faiblement compactes d'espaces du type $C(K)$
Soit K un espace compact, C(K) l'espace des fonctions complexes continues sur K, muni de la norme uniforme, son dual (espace des mesures de Radon sur K). Cet article est consacré essentiellement à…
Banach spaces with the extension property
Recently, in these Transactions, Nachbin [N] and, independently, Goodner [G] have shown that if B has the extension property and if its unit sphere has an extreme point, then B is equivalent to a…
An extension of Tietze's theorem.
...
1
2
...