## The Bishop-Phelps-Bollobás modulus for functionals on classical Banach spaces.(English)Zbl 06946442

Summary: In this manuscript, we compute the Bishop-Phelps-Bollobás modulus for functionals in classical Banach spaces, such as Hilbert spaces, spaces of continuous functions $$c_0$$ and $$\ell_1$$.

### MSC:

 47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.) 46B20 Geometry and structure of normed linear spaces

### Keywords:

Bishop-Phelps-Bollobás; modulus; classical Banach spaces
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### References:

 [1] R. M. Aron, Y. S. Choi, S. K. Kim, H. J. Lee, and M. Martín, The Bishop-Phelps-Bollobás of Lindenstrauss properties A and B, Trans. Amer. Math. Soc. 367 (2015), no. 9, 6085–6101. · Zbl 1331.46008 [2] F. J. García-Pacheco and S. Moreno-Pulido, The Bishop-Phelps-Bollobás modulus for operators, Preprint. [3] F. J. García-Pacheco and J. R. Hill, Geometric characterizations of Hilbert spaces, Canad. Math. Bull. 59 (2016), no. 4, 769–775. · Zbl 1369.46020 [4] M. Chica, V. · Zbl 1308.46021
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