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Further Properties of the Bishop–Phelps–Bollobás Moduli
| Content Provider | Semantic Scholar |
|---|---|
| Author | Chica, Mario Ospina Kadets, Vladimir Martín, Miguel Meri, Javier Zabaleta |
| Copyright Year | 2016 |
| Abstract | We continue the study of the Bishop–Phelps–Bollobás moduli $${\Phi_X(\delta)}$$ΦX(δ) and $${\Phi_X^S(\delta)}$$ΦXS(δ) initiated in Chica et al. (J. Math. Anal. Appl. 412(2):697–719, 2014). In particular, for a uniformly non-square Banach space $${X}$$X we present a simple proof of the previously known fact that $${\Phi_X(\delta) < \sqrt{2\delta}}$$ΦX(δ)<2δ for $${\delta \in (0, 1/2)}$$δ∈(0,1/2) and extend this result to the whole range of $${\delta\in (0, 2)}$$δ∈(0,2). We demonstrate also the continuity of $${\Phi_X}$$ΦX with respect to $${X}$$X. |
| Starting Page | 3173 |
| Ending Page | 3183 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s00009-016-0678-8 |
| Volume Number | 13 |
| Alternate Webpage(s) | https://www.ugr.es/~mmartins/Curriculum/Papers/pre2015-Chica-Kadets-Martin-Meri-BPBmodulus(3).pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s00009-016-0678-8 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
