Vol. 175, No. 1, 1996

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On the structure of tensor products of p-spaces

Alvaro Arias and Jeffrey D. Farmer

Vol. 175 (1996), No. 1, 13–37
Abstract

We examine some structural properties of (injective and projective) tensor products of p-spaces (projections, complemented subspaces, reflexivity, isomorphisms, etc.). We combine these results with combinatorial arguments to address the question of primarity for these spaces and their duals.

Mathematical Subject Classification 2000
Primary: 46B28
Secondary: 46B20, 47H99
Milestones
Received: 10 August 1993
Published: 1 September 1996
Authors
Alvaro Arias
Department of Mathematics
University of Denver
John Greene Hall, 208
Denver CO 80208
United States
http://web.cs.du.edu/~aarias/
Jeffrey D. Farmer
Mathematical Sciences
University of Northern Colorado
Campus Box 122
501 20th Street
Greeley CO 80639
United States
http://www.math.unco.edu/facstaff/Farmer/