Browsing Externally hosted open access publications with University of Galway authors (1) by Author "Ryan, Raymond A."

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Kirwan, Pádraig; Ryan, Raymond A. (American Mathematical Society (AMS), 1998-04-01)

We study the n-homogeneous polynomials on a Banach space X that can be extended to any space containing X. We show that there is an upper bound on the norm of the extension. We construct a predual for the space of all ...
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 ...
Tensor products of direct sums

Grecu, Bogdan C.; Ryan, Raymond A. (International Press of Boston, 2005-04-01)

A similar formula to the one established by Ansemil and Floret for symmetric tenser products of direct sums is proved for alternating and Jacobian tenser products. It is then applied to stable spaces where a number of ...