… the Lyapunov type of argument used in [l I] in finite dimension, by relying on Hale’s … B(X,
Y) is the space of all bounded linear operator from the Banach space X to the Banach space Y …

… Motivated by above work, we obtain the strong and weak convergence theorems for a
finite family of nonexpansive mappings in uniformly convex Banach space by using hybrid …

… Essentially, we prove that if an infinite-dimensional Banach space X admits a locally finite
covering by bounded weakly closed sets, then X is c0saturated, ie every infinite-dimensional …

… family. It follows from our results that an LUR or a uniformly Fréchet smooth infinite-dimensional
Banach space does not admit star-finite … construction of a star-finite covering of c 0 ( Γ ) …

… A basic notion in the definition of Tsirelson’s space is that of a ”Schreier set”. A finite set A is
called a Schreier set if |A| ≤ min A. The above mentioned properties of Tsirelson’s space are …

… space of almost-universal disposition for finite-dimensional Banach spaces, that we will
call the Gurariı space and … of spaces of universal disposition for the classes F of finitedimensional …

… Since KnB is weakly compact we obtain a finite family %(m, B) of weakly open sets
covering KnB and meeting KnB in a. non-empty set of diameter less than 1/m. Write …

… Parts of the theory concerning interpolation between two Banach spaces can be … interpolate
between finite many Banach spaces and even between general families of Banach spaces. …

… We also show that every finite-dimensional subspace of any member X of our class can
be moved by and (4 +ε)-isomorphism to essentially any region of any other member X or our …

… we usually mean an infinite-dimensional Banach space over the real field—otherwise we …
finite-dimensional case. If no confusion may arise, the word space will refer to a Banach space. …