In this paper, we compute the $BP$ -cohomology of complex projective Stiefel manifolds. The method involves homotopy fixed point spectral sequence, and works for oriented cohomology theories. We also use these calculations -operations to prove new results about equivariant maps between

let $a_1$, $a_2$ be unital banach algebras and $x$ be an $a_1$-$a_2$- module. applying the concept of module maps, (inner) modulegeneralized derivations and  generalized first cohomology groups, wepresent several results concerning the relations between modulegeneralized derivations from $a_i$ into the dual space $a^*_i$ (for$i=1,2$) and such derivations  from  the triangular banach algebraof t...