We study a class of stochastic evolution equations in a Banach
space E driven by cylindrical Wiener process. Three different analytical
concepts of solutions: generalised strong, weak and mild are defined and
the conditions under which they are equivalent are given. We apply this
result to prove existence, uniqueness and continuity of weak solutions to
stochastic delay evolution equations. We also consider two examples of
these equations in non-reflexive Banach spaces: a stochastic transport
equation with delay and a stochastic delay McKendrick equation.