When does the equality J ( X* )
J ( X ) hold for a two-dimensional Banach space X ?
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| 001 | 605461880 | ||
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| 024 | 7 | 0 | |a 10.1007/s10114-015-4539-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4539-3 | ||
| 245 | 0 | 0 | |a When does the equality J ( X* ) |h [Elektronische Daten] |b J ( X ) hold for a two-dimensional Banach space X ? |c [Kichi-Suke Saito, Masahiro Sato, Ryotaro Tanaka] |
| 520 | 3 | |a In this paper, we consider the following problem about the James constant: When does the equality J(X*) = J(X) hold for a Banach space X? It is known that the James constant of a Banach space does not coincide with that of its dual space in general. In fact, we already have counterexamples of two-dimensional normed spaces that are equipped with either symmetric or absolute norms. However, we show that if the norm on a two-dimensional space X is both symmetric and absolute, then the equality J(X*) = J(X) holds. This provides a global answer to the problem in the two-dimensional case. | |
| 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 James constant |2 nationallicence | |
| 690 | 7 | |a symmetric absolute norms |2 nationallicence | |
| 690 | 7 | |a piecewise linear functions |2 nationallicence | |
| 700 | 1 | |a Saito |D Kichi-Suke |u Department of Mathematics, Faculty of Science, Niigata University, 950-2181, Niigata, Japan |4 aut | |
| 700 | 1 | |a Sato |D Masahiro |u Department of Mathematical Sciences, Graduate School of Science and Technology, Niigata University, 950-2181, Niigata, Japan |4 aut | |
| 700 | 1 | |a Tanaka |D Ryotaro |u Department of Mathematical Sciences, Graduate School of Science and Technology, Niigata University, 950-2181, Niigata, Japan |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/8(2015-08-01), 1303-1314 |x 1439-8516 |q 31:8<1303 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4539-3 |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/s10114-015-4539-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Saito |D Kichi-Suke |u Department of Mathematics, Faculty of Science, Niigata University, 950-2181, Niigata, Japan |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sato |D Masahiro |u Department of Mathematical Sciences, Graduate School of Science and Technology, Niigata University, 950-2181, Niigata, Japan |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Tanaka |D Ryotaro |u Department of Mathematical Sciences, Graduate School of Science and Technology, Niigata University, 950-2181, Niigata, Japan |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 31/8(2015-08-01), 1303-1314 |x 1439-8516 |q 31:8<1303 |1 2015 |2 31 |o 10114 | ||