(Submitted to Banach Journal)
Ch. Cobollo, S.D., P. Hájek and M. Jung
35. Failure of the Stone-Weierstrass theorem
(Submitted to )
M. Caballer, S.D., D. Rodríguez-Vidanes
34. NA lineability
(Submitted on 2023-11-29 to Adv Math)
S.D., J. Falcó, M. Jung, D. Rodríguez-Vidanes
Ideas for FUTURE projects
★ Consider the set of all generating operators which do not attain their norms. Is this set dense in the set of all generating operators?
Mirar las diapositivas de Miguel de la Winter School Korea 2024
★ To find (norm-attaining) operators which belong to the subset BŠ(X,Y) and then study its denseness
The same question can be done for its complement. (BŠ stands for the Bhatia-Šemrl property)
★ To find (norm-attaining) operators which belong to the subset BŠ(X,Y) and then study its denseness
The same question can be done for its complement. (BŠ stands for the Bhatia-Šemrl property)
★ To find (norm-attaining) operators which belong to the subset BŠ(X,Y) and then study its denseness
The same question can be done for its complement. (BŠ stands for the Bhatia-Šemrl property)
★ OH for homogeneous polynomials
In the paper by Geunsu, Mingu and Sun Kwang (THE BIRKHOFF-JAMES ORTHOGONALITY AND NORM ATTAINMENT FOR MULTILINEAR MAPS) the consider multilinear maps already. How about polynomials?
★ NA(J), where J stands for the James space
It is not known that when (X,Y) satisfies the BPBp by assuming that X has the Radon-Nikodým property nor what happens with the particular case of James’ space J (this question was to me by ARZ)
★ Does the BPBp imply the BPBp for finite rank operators?
This question was made by RM to me
★ Non-norm-attaining tensors + lineability
ARZ already has some results (only one!) in this direction and maybe we could push it further
★ To study integral operators and when do they attain their norms
I don’t know if this would be interesting because integral operators are OPERATORS if you know what I mean…
★ Set points of discontinuity of hyperplanarly continuous maps on Banach spaces
I don’t know if this would be interesting because integral operators are OPERATORS if you know what I mean…
★ To study integral operators and when do they attain their norms
Dani sugiere que miremos lo siguientes artículos:
✩ A continuous tale on continuous and separatey continuous functions
✩ On sets of discontinuous of functions continuous on all lines by Zajicek
15. Given a separable Banach space with an isometric action of a group
(which groups are allowed here, this should to be decided), does there exist a strictly
convex renorming for which the action is still isometric?
S.D. and Michal
14. Puntos extremos de la bola unidad del espacio constituido por las formas cuadráticas en R^2 el triángulo de vértices (h,0), (h,1), (h+1,0) con h>0
S.D., Juan, Gustavo, Dani
13. NRA
S.D., Miguel, Audrey, Helena, Dani
13. Twisted Hilbert spaces defined by bi-Lipschitz maps
S.D., Dani, Willian
12. SSD Lipschitz-free 2
S.D., Mingu, Ramón
11. Lineability of uniformly antisymmetric functions
S.D., Dani, Marc, Chris
10. Counterexample for the density of the symmetric tensors
S.D., Mingu
9. NA adjoint operators
S.D., Miguel, Mingu (Notes)
“Perhaps the adjoint of every operator from \ell_1 into \ell_1 is norm-attaining”
8. NRA(X) contains no 2 dimensional Banach spaces
S.D., Dani, Juan, Ella and Martina
7. Elements of tensor product space attaining their Chevet-Saphar norms
S.D., Mingu
S.D., Petr
5. Properties A, B, \alpha, \beta, quasi-\alpha, quasi-\beta for tensor products
S.D., Mingu, Jaagup, LC and Abe
4. Funciones ES en espacios de sucesiones y funciones
S.D., Dani, Juanito
3. Daugavet points in the homogenous polynomials spaces
R. J. Aliaga, S.D., M. Jung, A. Quilis, T. Veoorg
2. On the Bollobás theorem for invariant groups
S.D., J. Falcó, M. Jung, Ó. Roldán
1. Phi-properties
S.D., M. Jung, J.T. Rodríguez, M. Mazzitelli (2022)
↓↓↓ IDEAS FOR THE FUTURE ↓↓↓
w- and w^*-denseness of norm-attaining
G. Choi, S.D., M. Jung
Randon-Nikodým property and functions that attain their weighted norms
S.D., R. Medina
Strong Subdifferentiability
Daugavet and delta points
Lineability
Lipschitz-free spaces
Renorming
Daugavet property
Norm-attaining theory