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      Grecu, Bogdan C.; Ryan, Raymond A. (American Mathematical Society (AMS), 2005-04-01)
      We study the classes of homogeneous polynomials on a Banach space with unconditional Schauder basis that have unconditionally convergent monomial expansions relative to this basis. We extend some results of Matos, and we ...
    • Schauder bases for symmetric tensor products 

      Grecu, Bogdan C.; Ryan, Raymond A. (European Mathematical Publishing House, 2005-01-01)
      For a Banach space E with Schauder basis, we prove that the n fold symmetric tenser product (x) over cap (n)(mu,),E-s has a Schauder basis for all symmetric uniform crossnorms mu. This is done by modifying the square ...