Norming subspaces isomorphic to ℓ 1
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| 024 | 7 | 0 | |a 10.1007/s10114-015-4123-x |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4123-x | ||
| 100 | 1 | |a Ostrovska |D Sofiya |u Department of Mathematics, Atilim University, 06836, Incek, Ankara, Turkey |4 aut | |
| 245 | 1 | 0 | |a Norming subspaces isomorphic to ℓ 1 |h [Elektronische Daten] |c [Sofiya Ostrovska] |
| 520 | 3 | |a Norming subspaces are studied widely in the duality theory of Banach spaces. These subspaces are applied to the Borel and Baire classifications of the inverse operators. The main result of this article asserts that the dual of a Banach space X contains a norming subspace isomorphic to ℓ 1 provided that the following two conditions are satisfied: (1) X* contains a subspace isomorphic to ℓ 1; and (2) X* contains a separable norming subspace. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Banach space |2 nationallicence | |
| 690 | 7 | |a norming subspace |2 nationallicence | |
| 690 | 7 | |a dual space |2 nationallicence | |
| 690 | 7 | |a weak* convergence |2 nationallicence | |
| 690 | 7 | |a free ultrafilter |2 nationallicence | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/5(2015-05-01), 767-771 |x 1439-8516 |q 31:5<767 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4123-x |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-4123-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Ostrovska |D Sofiya |u Department of Mathematics, Atilim University, 06836, Incek, Ankara, Turkey |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/5(2015-05-01), 767-771 |x 1439-8516 |q 31:5<767 |1 2015 |2 31 |o 10114 | ||