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 [3], 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 of [L.

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 of [M.