ORLICZ - PETTIS THEOREMS FOR MULTIPLIER CONVERGENT OPERATOR VALUED SERIES
نویسندگان
چکیده
منابع مشابه
Orlicz - Pettis Theorems for Multiplier Convergent Operator Valued Series
Let X,Y be locally convex spaces and L(X,Y ) the space of continuous linear operators from X into Y . We consider 2 types of multiplier convergent theorems for a series P Tk in L(X,Y ). First, if λ is a scalar sequence space, we say that the series P Tk is λ multiplier convergent for a locally convex topology τ on L(X,Y ) if the series P tkTk is τ convergent for every t = {tk} ∈ λ. We establish...
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ژورنال
عنوان ژورنال: Proyecciones (Antofagasta)
سال: 2004
ISSN: 0716-0917
DOI: 10.4067/s0716-09172004000100005