Gateaux Differentials in Banach Algebras.
Gâteaux smooth partitions of unity on weakly compactly generated Banach spaces
Gauge integrals and series
This note contains a simple example which does clearly indicate the differences in the Henstock-Kurzweil, McShane and strong McShane integrals for Banach space valued functions.
Gauss polynomials and the rotation algebra.
Gaussian behaviour and average of marginals for convex bodies.
Gaussian measures on spaces,
Gaussian radon measures on locally convex spaces.
Gaussian random band matrices and operator-valued free probability theory
GB*-Algebras associated with inductive limits of Hilbert spaces
GC-functions
G-continuous frames and coorbit spaces.
Gehring's lemma for metrics and higher integrability of the gradient for minimizers of noncoercive variational functionals
We prove a higher integrability result - similar to Gehring's lemma - for the metric space associated with a family of Lipschitz continuous vector fields by means of sub-unit curves. Applications are given to show the higher integrability of the gradient of minimizers of some noncoercive variational functionals.
Gelfand and Kolmogorov numbers of embedding of radial Besov and Sobolev spaces
We prove asymptotic formulas for the behavior of Gelfand and Kolmogorov numbers of Sobolev embeddings between Besov and Triebel-Lizorkin spaces of radial distributions. Our method works also for Weyl numbers.
Gelfand numbers of operators with values in a Hilbert space.
Gelfand representation of Banach modules [Book]
Gelfand theorem implies Stone representation theorem of Boolean rings.
Gelfand transform for a Boehmian space of analytic functions
Let denote the usual commutative Banach algebra of bounded analytic functions on the open unit disc of the finite complex plane, under Hadamard product of power series. We construct a Boehmian space which includes the Banach algebra A where A is the commutative Banach algebra with unit containing . The Gelfand transform theory is extended to this setup along with the usual classical properties. The image is also a Boehmian space which includes the Banach algebra C(Δ) of continuous functions on...
Gelfand-Phillips property in the completion of the space of Pettis integrable functions
General construction of Banach-Grassmann algebras
We show that a free graded commutative Banach algebra over a (purely odd) Banach space is a Banach-Grassmann algebra in the sense of Jadczyk and Pilch if and only if is infinite-dimensional. Thus, a large amount of new examples of separable Banach-Grassmann algebras arise in addition to the only one example previously known due to A. Rogers.
General convexity of some functionals in seminormed spaces and seminormed algebras.