Search

Your search keyword '"Hájek, Petr"' showing total 41 results
Start Over Author "Hájek, Petr" Topic banach space
41 results on '"Hájek, Petr"'

1. Superreflexive Spaces

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, Zizler, Václav, Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, and Zizler, Václav

Published
2011
Full Text
View/download PDF

2. C 1-Smoothness in Separable Spaces

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, Zizler, Václav, Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, and Zizler, Václav

Published
2011
Full Text
View/download PDF

3. Finite-Dimensional Spaces

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, Zizler, Václav, Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, and Zizler, Václav

Published
2011
Full Text
View/download PDF

4. Optimization

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, Zizler, Václav, Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, and Zizler, Václav

Published
2011
Full Text
View/download PDF

6. Appendix

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, Zizler, Václav, Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, and Zizler, Václav

Published
2011
Full Text
View/download PDF

8. Weakly Compactly Generated Spaces

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, Zizler, Václav, Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, and Zizler, Václav

Published
2011
Full Text
View/download PDF

9. Tensor Products

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, Zizler, Václav, Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, and Zizler, Václav

Published
2011
Full Text
View/download PDF

10. Dentability and Differentiability

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, Zizler, Václav, Fabian, Marián, Habala, Petr, Hájek, Petr, Montesinos, Vicente, and Zizler, Václav

Published
2011
Full Text
View/download PDF

11. Hahn—Banach and Banach Open Mapping Theorems

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, Zizler, Václav, Borwein, Jonathan, editor, Borwein, Peter, editor, Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, and Zizler, Václav

Published
2001
Full Text
View/download PDF

12. Schauder Bases

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, Zizler, Václav, Borwein, Jonathan, editor, Borwein, Peter, editor, Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, and Zizler, Václav

Published
2001
Full Text
View/download PDF

13. Differentiability of Norms

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, Zizler, Václav, Borwein, Jonathan, editor, Borwein, Peter, editor, Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, and Zizler, Václav

Published
2001
Full Text
View/download PDF

14. Uniform Convexity

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, Zizler, Václav, Borwein, Jonathan, editor, Borwein, Peter, editor, Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, and Zizler, Václav

Published
2001
Full Text
View/download PDF

15. Compact Operators on Banach Spaces

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, Zizler, Václav, Borwein, Jonathan, editor, Borwein, Peter, editor, Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, and Zizler, Václav

Published
2001
Full Text
View/download PDF

16. Locally Convex Spaces

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, Zizler, Václav, Borwein, Jonathan, editor, Borwein, Peter, editor, Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, and Zizler, Václav

Published
2001
Full Text
View/download PDF

17. Structure of Banach Spaces

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, Zizler, Václav, Borwein, Jonathan, editor, Borwein, Peter, editor, Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, and Zizler, Václav

Published
2001
Full Text
View/download PDF

18. Basic Concepts in Banach Spaces

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, Zizler, Václav, Borwein, Jonathan, editor, Borwein, Peter, editor, Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, and Zizler, Václav

Published
2001
Full Text
View/download PDF

19. Weak Topologies

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, Zizler, Václav, Borwein, Jonathan, editor, Borwein, Peter, editor, Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, and Zizler, Václav

Published
2001
Full Text
View/download PDF

20. Weakly Compactly Generated Spaces

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, Zizler, Václav, Borwein, Jonathan, editor, Borwein, Peter, editor, Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, and Zizler, Václav

Published
2001
Full Text
View/download PDF

21. Smoothness and Structure

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, Zizler, Václav, Borwein, Jonathan, editor, Borwein, Peter, editor, Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, and Zizler, Václav

Published
2001
Full Text
View/download PDF

22. Topics in Weak Topology

Author

Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, Zizler, Václav, Borwein, Jonathan, editor, Borwein, Peter, editor, Fabian, Marián, Habala, Petr, Hájek, Petr, Santalucía, Vicente Montesinos, Pelant, Jan, and Zizler, Václav

Published
2001
Full Text
View/download PDF

30. Separated sets and Auerbach systems in Banach spaces.

Author

Hájek, Petr, Kania, Tomasz, and Russo, Tommaso

Subjects
*BANACH spaces, *SPHERES
Abstract

The paper elucidates the relationship between the density of a Banach space and possible sizes of Auerbach systems and well-separated subsets of its unit sphere. For example, it is proved that for a large enough space X, the unit sphere SX always contains an uncountable (1+)-separated subset. In order to achieve this, new results concerning the existence of large Auerbach systems are established, that happen to be sharp for the class of weakly Lindelöf determined (WLD) spaces. In fact, we offer the first consistent example of a non-separable WLD Banach space that contains no uncountable Auerbach system, as witnessed by a renorming of c0(ω1). Moreover, the following optimal results for the classes of, respectively, reflexive and super-reflexive spaces are established: the unit sphere of an infinite-dimensional reflexive space contains a symmetrically (1+ε)-separated subset of any regular cardinality not exceeding the density of X; should the space X be super-reflexive, the unit sphere of X contains such a subset of cardinality equal to the density of X. The said problem is studied for other classes of spaces too, including WLD spaces, RNP spaces, or strictly convex ones. [ABSTRACT FROM AUTHOR]

Published
2020
Full Text
View/download PDF

31. Cross-sections of solution funnels.

Author

Hájek, Petr and Vivi, Paola

Subjects
*INFINITY (Mathematics), *BANACH spaces, *CONTINUOUS functions, *ANALYTIC sets, *MATHEMATICAL analysis
Abstract

Let X be a separable infinite dimensional real Banach space. We denote by F ( X ) the class of continuous functions f : R × X → X such that the ODE u ′ = f ( t , u ) , u ( t 0 ) = x , t 0 ∈ R , x ∈ X , has a global solution for any initial condition. Our main result states that A ⊂ X is the cross-section of a solution funnel of the ODE u ′ = f ( t , u ) , u ( 0 ) = 0 , for some f ∈ F ( X ) , if and only if A is an analytic set. [ABSTRACT FROM AUTHOR]

Published
2016
Full Text
View/download PDF

40. Analysis in Banach spaces

Author

Novotný, Matěj, Hájek, Petr, and Kurka, Ondřej

Subjects
linear isomorphism, lipschitzovský homeomorfismus, Lipschitz homeomorphism, Banach space, Banachův prostor, lineární izomorfismus
Abstract

Univerzita Karlova Abstract of the diploma thesis Analysis in Banach spaces Matěj Novotný, Praha 2013 In the thesis, connection between two certain types of equivalence on Ba- nach spaces is studied: Between Lipschitz and linear one. In general, linear equivalence of two Banach spaces implies their Lipschitz equivalence, but the converse need not be true, which is shown by some nonseparable examples. There are summarized several examples to this question in the thesis, both positive and negative ones. Moreover, it is shown that James' quasi-reflexive space and its dual space have unique Lipschitz structure. To prove this, theory of linearization of Lipschitz mappings and at the same time linear structure of the two mentioned spaces is used. 1

Published
2014

41. Deskriptivní a topologické aspekty v teorii Banachových prostorů

Author

Kurka, Ondřej, Holický, Petr, Fabian, Marián, and Hájek, Petr

Subjects
Mathematics::Functional Analysis, borelovská množina, projectional resolution of identity, binormalita, Banach space, Borel set, binormality, nereflexivní Banachův prostor, Banachův prostor, projektivní rozklad identity, non-reflexive Banach space
Abstract

of doctoral thesis Descriptive and topological aspects in Banach space theory Deskriptivní a topologické aspekty v teorii Banachových prostorů Ondřej Kurka The thesis consists of three papers of the author. In the first paper, it is shown that the sets of Fréchet subdifferentiability of Lipschitz functions on a Banach space X are Borel if and only if X is reflexive. This answers a ques- tion of L. Zajíček. In the second paper, a problem of G. Debs, G. Godefroy and J. Saint Raymond is solved. On every separable non-reflexive Banach space, equivalent strictly convex norms with the set of norm-attaining func- tionals of arbitrarily high Borel class are constructed. In the last paper, binormality, a separation property of the norm and weak topologies of a Ba- nach space, is studied. A result of P. Holický is generalized. It is shown that every Banach space which belongs to a P-class is binormal. It is also shown that the asplundness of a Banach space is equivalent to a related separation property of its dual space. 1

Published
2011

Catalog

Books, media, physical & digital resources
See catalog results