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Results tagged with reference-request
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user 165275
This tag is used if a reference is needed in a paper or textbook on a specific result.
1
vote
Existence of a global solution to a differential inclusion that does not blow up
Consider the initial value $x(t_0)=x_0$. Let $B$ be the closed ball around $x_0$ with radius $1$. Let $\rho$ denote a retraction onto $B$. Then $G=F\circ\rho$ satisfies $G|_B=F|_B$ and is upper semi-c …
- 1,869
1
vote
Upper bounds for Bessel functions
There are some estimates and corresponding resolvent estimates for the Laplacian in exterior cylindric domains in
J. Appell, C.-J. Chen, S. Tseng, M. Väth, Iterative Approximation for a Boundary Value …
- 1,869
1
vote
Relative compactness in topological spaces (reference request)
My guess is that even $T_3$ is already sufficient. I do not have access to the monograph Fletcher, Peter and Lindgren, William F., Quasi-uniform spaces, M. Dekker, New York, Basel 1982, in the moment, …
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2
votes
What do absolute neighborhood retracts look like?
For Euclidean neighborhood retracts, there is the nice characterization of being locally connected (and locally compact). Unfortunately, in the infinite-dimensional case, locally connectedness is nece …
- 1,869
2
votes
Accepted
Definition of a $\psi$-Banach space
The definition makes no sense due to the mixing up of "relatively" (weakly) compact and (not relatively) compact.
I guess that what you mean is:
$\psi$ is strongly-weakly proper on closed balls (that …
- 1,869
11
votes
What can be preserved in mathematics if all constructions are carried out in ZF?
One of the standard texts which presents functional analysis only based on ZF+DC is the monograph (consisting of 3 volumes) Henry G. Garnir, Marc de Wilde, and Jean Schmets, Analyse Fonctionnelle.
Als …
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1
vote
Essential spectrum of multiplication operator
In Biberdorf, E. A. and Väth, M., On the spectrum of orthomorphisms and Barbashin operators, Z. Anal. Anwendungen 18, 1999(4), 12-31 it is shown that even in the more general case of an orthomorphism, …
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5
votes
BCT equivalent to DC
Yet another formulation of Blair's proof is in M. Väth, Topological Analysis, DeGruyter 2012.
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