Reputation
2,598
Top tag
Next privilege 3,000 Rep.
Cast close & reopen votes
Badges
2 6 28
Impact
~44k people reached

Jul
13
comment Rigor in Banach contraction principle
Sure, (Lipschitz) continuity is given by contraction property (this is what I used in the last line).
Jul
13
comment Rigor in Banach contraction principle
Done, hope it is more clear now.
Jul
13
revised Rigor in Banach contraction principle
added 196 characters in body
Jul
13
answered Rigor in Banach contraction principle
Apr
20
awarded  Popular Question
Apr
10
awarded  Yearling
Sep
30
awarded  Explainer
Sep
24
awarded  Autobiographer
Sep
15
awarded  Self-Learner
Aug
9
reviewed Approve How to solve this IVP?
Aug
9
comment Do the radii of a family of nested balls (in a Banach space) converge?
That's interesting and surprising for me, many thanks. Can I ask you which is the problem for $\mathbb Q_p$, thus? Why does Henning Makholm's proof below does not apply in thi case? I am not very familiar with $p$-adic numbers, to be honest. Thanks again for your comments.
Aug
9
comment Do the radii of a family of nested balls (in a Banach space) converge?
@you-sir-33433 Sure, thanks for pointing it out; but if you are in a Banach space and the balls are nested then necessarily the intersection is not empty.
Aug
9
comment Outer Measure is not Finite Additive
You may find this interesting. math.stackexchange.com/questions/878962/…
Aug
9
accepted Do the radii of a family of nested balls (in a Banach space) converge?
Aug
9
comment Do the radii of a family of nested balls (in a Banach space) converge?
Oh, I see your point. Thank you very much for the kind and fast reply.
Aug
9
asked Do the radii of a family of nested balls (in a Banach space) converge?
Aug
9
comment Nested sequences of balls in a Banach space
Sorry for this comment which is probably stupid but I am wondering how you would prove that $B_r(x) \subset B_s(x)$ implies $r \le s$. What about these examples: math.stackexchange.com/questions/734248/… ? Thanks.
Aug
8
accepted A strictly convex function defines an implicit function with non-positive second derivative
Aug
7
revised Jordan Measure and Lebesgue Measure
edited title
Aug
6
comment How do I approach the problems asking about uniqueness
@user86418 Oh, sorry: you are perfectly right, I have been stupid. Thanks for pointing it out, now it makes sense.