Operations and Spectral Sequences. I
James M. Turner
Trans. Amer. Math. Soc. 350 (1998) 3815-3835.

Abstract. Using methods developed by W. Singer and J. P. May, we describe a 
systematic approach to showing that many spectral sequences, determined by a
filtration on a complex whose homology has an action of operations, possess a 
compatible action of the same operations. As a consequence, we obtain 
W. Singer's result for Steenrod operations on Serre spectral sequence and 
extend A. Bahri's action of Dyer-Lashof operations on the second quadrant
Eilenberg-Moore spectral sequence.