Some linear topological properties of $L^\infty$ of a finite measure space
HTML articles powered by AMS MathViewer
- by Haskell P. Rosenthal PDF
- Bull. Amer. Math. Soc. 75 (1969), 798-802
References
- D. Amir and J. Lindenstrauss, The structure of weakly compact sets in Banach spaces, Ann. of Math. (2) 88 (1968), 35–46. MR 228983, DOI 10.2307/1970554
- C. Bessaga and A. Pełczyński, On bases and unconditional convergence of series in Banach spaces, Studia Math. 17 (1958), 151–164. MR 115069, DOI 10.4064/sm-17-2-151-164
- J. Dixmier, Sur certains espaces considérés par M. H. Stone, Summa Brasil. Math. 2 (1951), 151–182 (French). MR 48787
- A. Grothendieck, Sur les applications linéaires faiblement compactes d’espaces du type $C(K)$, Canad. J. Math. 5 (1953), 129–173 (French). MR 58866, DOI 10.4153/cjm-1953-017-4
- Gottfried Köthe, Hebbare lokalkonvexe Räume, Math. Ann. 165 (1966), 181–195 (German). MR 196464, DOI 10.1007/BF01343797
- Dorothy Maharam, On homogeneous measure algebras, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 108–111. MR 6595, DOI 10.1073/pnas.28.3.108
- A. Pełczyński, On Banach spaces containing $L_{1}(\mu )$, Studia Math. 30 (1968), 231–246. MR 232195, DOI 10.4064/sm-30-2-231-246
- A. Pełczyński, On the impossibility of embedding of the space $L$ in certain Banach spaces, Colloq. Math. 8 (1961), 199–203. MR 131154, DOI 10.4064/cm-8-2-199-203
- A. Pełczyński, On the isomorphism of the spaces $m$ and $M$, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 6 (1958), 695–696. MR 0102727
- A. Pełczyński, Uncomplemented function algebras with separable annihilators, Duke Math. J. 33 (1966), 605–612. MR 203523 11. H. P. Rosenthal, On injective Banach spaces and the spaces L∞(μ) for finite measures μ (to appear).
Additional Information
- Journal: Bull. Amer. Math. Soc. 75 (1969), 798-802
- DOI: https://doi.org/10.1090/S0002-9904-1969-12298-6
- MathSciNet review: 0244757