banach in a sentence

1. What is an anagram for Banach-Tarski?

2. Geometry of Banach spaces contains many topics.

3. The second point is based on a proposal by Banach.

4. In 1939, Banach was elected President of the Polish Mathematical Society.

5. Many spaces of sequences or functions are infinite-dimensional Banach spaces.

6. Gowers has been able to construct a Banach space which has almost no symmetry.

7. Banach Center Publications - proceedings of selected conferences and semesters

8. Gower has made significant contribution above all to the theory of Banach spaces.

9. The Banach-Tarsk paradox - based on a huge amount strange features of infinity and geometry .

10. Together we developed the theory of perfect spaces, a counterpart to the theory of Banach spaces.

11. This formulation made it possible to extend the notion of s-numbers to operators in Banach space.

12. Thus it is possible to exclude counterintuitive results like the Banach–Tarski paradox which are provable in ZFC.

13. The three-line theorem also holds for functions with values in a Banach space and plays an important role in complex interpolation theory.

14. Hadamard also founded the modern school of linear functional analysis further developed by Riesz and the group of Polish mathematicians around Stefan Banach.

15. One is combinatorial approach connected with Jean Bourgain; another is a characterization of Banach spaces in which various forms of the law of large numbers hold.

16. Here you can look through a copy of the legendary math book by Stefan Banach, which contains records of Mathematicians, which met here during the period from 1935 to 1941.

17. The original example is not explicit, since it employs the Hahn–Banach theorem, but there since have been various explicit examples of the same nature found by Harold Jacobowitz.

18. Since 1993 only Master-degree holders are allowed to become a doctor, while prior to that time it was possible (but rare) to gain doctorate without Master studies (for example Stefan Banach).

19. For example, the Banach–Tarski paradox is neither provable nor disprovable from ZF alone: it is impossible to construct the required decomposition of the unit ball in ZF, but also impossible to prove there is no such decomposition.

20. The open mapping theorem, also known as the Banach–Schauder theorem (named after Stefan Banach and Juliusz Schauder), is a fundamental result which states that if a continuous linear operator between Banach spaces is surjective then it is an open map.