Gelfand numbers of operators with values in a Hilbert space.
Gelfand-Phillips property in the completion of the space of Pettis integrable functions
General embedding problems and two-distance sets in Minkowski planes.
Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces
Generalized Banach-Mazur distance
Generalized centers of finite sets in Banach spaces.
Generalized-lush spaces and the Mazur-Ulam property
We introduce a new class of Banach spaces, called generalized-lush spaces (GL-spaces for short), which contains almost-CL-spaces, separable lush spaces (in particular, separable C-rich subspaces of C(K)), and even the two-dimensional space with hexagonal norm. We find that the space C(K,E) of vector-valued continuous functions is a GL-space whenever E is, and show that the set of GL-spaces is stable under c₀-, l₁- and -sums. As an application, we prove that the Mazur-Ulam property holds for a larger...
Generic differentiability of mappings and convex functions in Banach and locally convex spaces
Geometric characterization of L₁-spaces
The paper is devoted to a description of all real strongly facially symmetric spaces which are isometrically isomorphic to L₁-spaces. We prove that if Z is a real neutral strongly facially symmetric space such that every maximal geometric tripotent from the dual space of Z is unitary, then the space Z is isometrically isomorphic to the space L₁(Ω,Σ,μ), where (Ω,Σ,μ) is an appropriate measure space having the direct sum property.
Geometric properties of Banach spaces and metric fixed point theory.
Geometric properties of Banach spaces and the existence of nearest and farthest points.
Geometric properties of normed spaces and estimates for rectangular modulus.
Geometric properties related to the fixed point property in Banach spaces.
Geometric, spectral and asymptotic properties of averaged products of projections in Banach spaces
According to the von Neumann-Halperin and Lapidus theorems, in a Hilbert space the iterates of products or, respectively, of convex combinations of orthoprojections are strongly convergent. We extend these results to the iterates of convex combinations of products of some projections in a complex Banach space. The latter is assumed uniformly convex or uniformly smooth for the orthoprojections, or reflexive for more special projections, in particular, for the hermitian ones. In all cases the proof...
Geometrical and topological properties of bumps and starlike bodies in Banach spaces.
Geometrical Properties of a Class of Banach Spaces Including the Spaces c0 and LP (l < p < oo).
Geometrical properties of Banach spaces and the distribution of the norm for a stable measure
Geometry of Banach spaces and biorthogonal systems
A separable Banach space X contains isomorphically if and only if X has a bounded fundamental total -stable biorthogonal system. The dual of a separable Banach space X fails the Schur property if and only if X has a bounded fundamental total -biorthogonal system.
Geometry of Banach spaces and solvability of nonlinear equations
Geometry of finite-dimensional normed spaces and continuous functions on the Euclidean sphere.