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Martin Väth's user avatar
Martin Väth's user avatar
Martin Väth
  • Member for 4 years, 3 months
  • Last seen more than a week ago
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revised
Checking if an element belongs to a resolvent set
Fix typo
answered
Checking if an element belongs to a resolvent set
awarded
 Enthusiast
awarded
 Citizen Patrol
answered
Generalized Schoenflies - formalizing step in proof?
answered
Best Springer mathematics books
awarded
 Commentator
comment
Is this operator continuous?
2. No, I assume that for the Pettis integral there is no result at all about automatic continuity, even under the stronger hypothesis you mention.
comment
Is this operator continuous?
1. For every $t\in[0,1]$ there holds $\lVert T(x_n)(t)-T(x)\rVert_E\le\int_0^t\lVert F(x_n)(s)-F(x)(s)\rVert_E\,ds\le\lVert F(x_n)-F(x)\rVert_{L_1([0,1],E)}$, hence the right-hand side is a bound for the maximum over all $t\in[0,1]$.
revised
Why is Lebesgue measure theory asymmetric?
added 36 characters in body
answered
Why is Lebesgue measure theory asymmetric?
revised
Is this operator continuous?
Added reference and indicated how the proof in case $Z=X$ might work.
answered
Is this operator continuous?
answered
To show a set is a set of positive Lebesgue measure in $ \mathbb{R}$
answered
BCT equivalent to DC
answered
Is there a standard way of defining the integral of an extended real function with respect to a finitely additive probability measure?
revised
Regarding a positive Lebesgue measure set in $\mathbb{R}^2$
Added the original formulation of Robert Isreal.
comment
Regarding a positive Lebesgue measure set in $\mathbb{R}^2$
Yes. I added a sketch of the proof.
revised
Regarding a positive Lebesgue measure set in $\mathbb{R}^2$
Added sketch of proof
answered
Regarding a positive Lebesgue measure set in $\mathbb{R}^2$
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