On the other hand, by construction [tau] is weaker than the weak topology [sigma](E*, E**).
o]; d [member of] D} is dense in [OMEGA]* in the weak topology.
Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory Under Weak Topology
for Nonlinear Operators and Black Operator Matrices With Applications
If K is a weakly compact subset of E and K with the relative weak topology
is metrizable (for example E could be a Banach space whose dual [E.
2 serves to the purpose: one considers E endowed with the weak topology
and identify E* with E.
with respect to the weak topology
, see , then there exists a sequence [([[phi].
We commence this work with the following proposition which shows that we can consider the topology [beta](X) as a weak topology
under all left multipliers induced by a function space on M(X).
n])]) converges to 0 for the weak topology
[sigma](E, E') whenever the sequence ([x.
E endowed with the weak topology
[sigma] (E, E') is a K-analytic space.
alpha]]} converges to 0 in the weak topology
every convergent sequence in the weak topology
of C(X, K) is norm-convergent, see [14, Corollary 2.
Then the weak topology
of X is the product of the weak topology