3 citations · 12 across the 30 of their papers we have counts for
4 papers · 1 filter
Closed graphs and open maps
P. L. Robinson
We offer a new perspective on the closed graph theorem and the open mapping theorem for separated barrelled spaces and fully complete spaces.
The closed graph theorem is the open mapping theorem
R. S. Monahan, P. L. Robinson
We extend the closed graph theorem and the open mapping theorem to a context in which a natural duality interchanges their extensions.
Julia operators and Halmos dilations
P. L. Robinson
We offer a simple direct proof of the unitarity of the Julia operator associated to a contraction , from which follow the intertwining identity $(I - A A^*)^{1/2} A = A (I - A^*…
Partial Inner Products on Antiduals
P. L. Robinson
We discuss extensions of an inner product from a vector space to its full antidual. None of these extensions is weakly continuous, but partial extensions recapture some familiar st…