41 citations · 111 across the 10 of their papers we have counts for
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Unconditionally converging polynomials on Banach spaces
Manuel Gonzalez, Joaquin M. Gutierrez
We prove that weakly unconditionally Cauchy (w.u.C.) series and unconditionally converging (u.c.) series are preserved under the action of polynomials or holomorphic functions on B…
When every polynomial is unconditionally converging
Manuel Gonzalez, Joaquin M. Gutierrez
Letting , be Banach spaces, the main two results of this paper are the following: (1) If every (linear bounded) operator is unconditionally converging, then…
Polynomial Grothendieck properties
Manuel Gonzalez, Joaquin M. Gutierrez
A Banach space has the Grothendieck property if every (linear bounded) operator from into is weakly compact. It is proved that, for an integer , every -homoge…
Representing non-weakly compact operators
Manuel Gonzalez, Eero Saksman, H. Tylli
For each (with a Banach space) the operator is defined by \quad (). We study mapping pro…