Abstract
Summary. Some observations are made on abstract error estimates for Galerkin approximations based on Babuska-Brezzi conditions. A basic error estimate due to Babuska is sharpened by means of an identity that $\| P\|=\|I-P \|$ for any nontrivial idempotent operator P. Some remarks are also made on the Brezzi's theory for mixed variational problems and their Galerkin approximations.
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