Skip to main content
MathOverflow
Tony Prochazka's user avatar
Tony Prochazka's user avatar
Tony Prochazka's user avatar
Tony Prochazka
  • Member for 10 years, 5 months
  • Last seen more than a week ago
Profile Activity

21 Actions

All Accepts Posts Badges Comments Revisions Reviews Suggestions
comment
Whether Krein-Milman property implies Radon-Nikodym property
For what is worth, these properties coincide also in Lipschitz-free spaces, but it is for stronger reason (failure of the RNP already implies the presence of $L_1$). It is proved in Purely 1-unrectifiable metric spaces and locally flat Lipschitz functions. Trans. Amer. Math. Soc. 375 (2022), no. 5, 3529–3567.
awarded
 Good Answer
awarded
 Yearling
awarded
 Yearling
awarded
 Enlightened
awarded
 Nice Answer
comment
Are uniformly continuous functions dense in all continuous functions?
Yes. Notice that some effort still has to be done to show that such a sub-additive modulus can be really found. Effort which we both elegantly avoided ;)
answered
Are uniformly continuous functions dense in all continuous functions?
awarded
 Critic
answered
Corson-Lindenstrauss : Weakly compact sets as intersection of finite unions of cells
awarded
 Yearling
awarded
 Nice Answer
awarded
 Citizen Patrol
awarded
 Necromancer
answered
Are proper linear subspaces of Banach spaces always meager?
comment
Subspaces of $l_{1}$ are not Lipschitz complemented in $l_{1}$
@DongyangChen Aha, so solving your problem would in particular give you a separable Banach space which is not a Lipschitz retract of its bidual. Nice!
answered
Subspaces of $l_{1}$ are not Lipschitz complemented in $l_{1}$
awarded
 Supporter
awarded
 Teacher
answered
relation between of uniformly rotund in every direction and uniformly rotund and locally uniformly rotund
1
2