Review of the book by Mariusz Urbanek, “Genialni – Lwowska Szko la Matematyczna"( Polish) [Geniuses – the Lvov school of mathematics], Wydawnictwo Iskry, Warsaw 2014, 283 pp. ISBN: 978-83-244-0381-3
Journal Title: Математичні Студії - Year 2018, Vol 50, Issue 1
Abstract
This review is an extended version of my short review of Urbanek's book that was published in MathSciNet. Here it is written about his book in greater detail, which was not possible in the short review. I will present facts described in the book as well as some false information there.
Authors and Affiliations
L. Maligranda
Quantitative version of the Bishop-Phelps-Bollobas theorem for operators with values in a space with the property β
The Bishop-Phelps-Bollobas property for operators deals with simultaneous approximation of an operator T and a vector x at which T:X→Y nearly attains its norm by an operator F and a vector z, respectively, such that F at...
Gromov-Frechet distance between curves
The Gromov-Frechet distance is obtained from the Frechet distance between metric curves similarly as the Gromov-Hausdorff distance is obtained from the Hausdorff distance. We prove that the Gromov-Frechet space is separa...
On removable singularities of mappings in uniform spaces
The paper is devoted to the study of mappings of two metric spaces that distort the modulus of families of paths by analogy with the Poletskii inequality.We deal with the situation when the mapping acts in a space that a...
Complete biorthogonal systems of Bessel functions
Let ν≥−1/2 and (ρk)k∈N be a sequence of nonzero complex numbers such that ρ2k≠ρ2m for k≠m. We prove that if the system {xρk−−−√Jν(xρk):k∈N} of Bessel functions of the first kind of index ν≥−1/2 is exact (i.e. complete an...
Sequential coarse structures of topological groups
We endow a topological group (G,τ) with a coarse structure defined by the smallest group ideal Sτ on G containing all converging sequences and denote the obtained coarse group by (G,Sτ). If G is discrete, then (G,Sτ) is...