Functional-analytic properties of Corson-compact spaces
Functionals Close to Each Other.
Functionals on function and sequence spaces connected with the exponential stability of evolutionary processes
The exponential stability property of an evolutionary process is characterized in terms of the existence of some functionals on certain function spaces. Thus are generalized some well-known results obtained by Datko, Rolewicz, Littman and Van Neerven.
Functions locally dependent on finitely many coordinates.
The notion of functions dependent locally on finitely many coordinates plays an important role in the theory of smoothness and renormings on Banach spaces, especially when higher smoothness (C∞) is involved. In this note we survey most of the main results in this area, and indicate many old as well as new open problems.
Further properties of Azimi-Hagler Banach spaces
Gabor meets Littlewood-Paley: Gabor expansions in
It is known that Gabor expansions do not converge unconditionally in and that cannot be characterized in terms of the magnitudes of Gabor coefficients. By using a combination of Littlewood-Paley and Gabor theory, we show that can nevertheless be characterized in terms of Gabor expansions, and that the partial sums of Gabor expansions converge in -norm.
Garnir's dream spaces with Hamel bases.
Gâteaux differentiable functions are somewhere Fréchet differentiable
Gateaux differentiable norms in Lp.
Gâteaux smooth partitions of unity on weakly compactly generated Banach spaces
Gaussian behaviour and average of marginals for convex bodies.
G-continuous frames and coorbit spaces.
Gelfand numbers of operators with values in a Hilbert space.
Gelfand-Phillips property in the completion of the space of Pettis integrable functions
General convexity of some functionals in seminormed spaces and seminormed algebras.
General embedding problems and two-distance sets in Minkowski planes.
Generalization of projection constants: sufficient enlargements.
Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces
Generalizations of the Lax-Milgram theorem.
Generalized Banach-Mazur distance