On continuous images of Eberlein compacts
On contraction-type mappings on a 2-normed space
On contradictions of normed vector spaces
On cosine operator functions and one-parameter groups of operators
On Hamel bases in Banach spaces
It is shown that no infinite-dimensional Banach space can have a weakly K-analytic Hamel basis. As consequences, (i) no infinite-dimensional weakly analytic separable Banach space E has a Hamel basis C-embedded in E(weak), and (ii) no infinite-dimensional Banach space has a weakly pseudocompact Hamel basis. Among other results, it is also shown that there exist noncomplete normed barrelled spaces with closed discrete Hamel bases of arbitrarily large cardinality.
On Hilbert sets and -spaces with no subspace isomorphic to
On isometries in linear metric spaces
On Kadec-Klee norms on Banach spaces
On local and global moduli of convexity
On minimal points
On modular sequence spaces
On monotonic functions from the unit interval into a Banach space with uncountable sets of points of discontinuity
We say that a function f from [0,1] to a Banach space X is increasing with respect to E ⊂ X* if x* ∘ f is increasing for every x* ∈ E. We show that if f: [0,1] → X is an increasing function with respect to a norming subset E of X* with uncountably many points of discontinuity and Q is a countable dense subset of [0,1], then (1) contains an order isomorphic copy of D(0,1), (2) contains an isomorphic copy of C([0,1]), (3) contains an isomorphic copy of c₀(Γ) for some uncountable set Γ, (4) if...
On -normed spaces.
On non linear perturbations of isometries.
On non-equivalent bases and conditional bases in Banach spaces
On Normed Almost Linear Spaces.
On one generalization of weakly compactly generated Banach spaces
On probabilistic normed spaces under .
On quotients of which are quotients of
On rough norms on Banach spaces