Gâteaux derivative and orthogonality in -classes.
Gâteaux differentiability for functionals of type Orlicz-Lorentz.
Gâteaux differentiable functions are somewhere Fréchet differentiable
Gateaux Differentials in Banach Algebras.
Gâteaux smooth partitions of unity on weakly compactly generated Banach spaces
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.
Generalization of the formula of Faa di Bruno for a composite function with a vector argument.
Generalized Nash-Moser smoothing operators and the structure of Fréchet spaces
Generic differentiability of mappings and convex functions in Banach and locally convex spaces
Geometrical and topological properties of bumps and starlike bodies in Banach spaces.
Geometry of Carnot-Carathéodory spaces, quasiconformal analysis, and geometric measure theory.