ACTA issues

A nonlinear Schur theorem

Ronglu Li, Charles Swartz

Acta Sci. Math. (Szeged) 58:1-4(1993), 497-508

Abstract. We present an abstract form of the classical Schur Theorem from summability. Our result contains the vector subseries case and bounded multiplier convergent case for both vector-valued and operator-valued series as corollaries.

AMS Subject Classification (1991): 40B05, 40A30

Received November 3, 1992. (Registered under 5563/2009.)