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Valdivia's lifting theorem for non-metrizable spaces. Preprint
Thomas E. Gilsdorf
The lifting theorem of Valdivia concerning (pre) compact sets and convergent (respectively, Cauchy) sequences from a quasi-(LB) space to a metrizable, strictly barrelled space is e…
Inductive limits of quasi locally Baire spaces
Thomas E. Gilsdorf
We study quasi-locally complete locally convex spaces and generalize this concept to quasi-locally Baire locally convex spaces. It is shown that an inductive limit of strictly webb…
On Docile Spaces, Mackey First Countable Spaces, and Sequentially Mackey First Countable Spaces
Carlos Bosch Giral, César L. García, Thomas E. Gilsdorf +2
In this article we discuss the relationship between three types of locally convex spaces: docile spaces, Mackey first countable spaces, and sequentially Mackey first countable spac…
Existence and Uniqueness for Nonlinear Integro-Differential Equations in Real Locally Complete Spaces
Thomas E. Gilsdorf, Mohammad Khavanin
We extend existence and uniqueness results of [4] for nonlinear integro-differential equations of Volterra type between real locally complete vector spaces
Eventually constant intertwining linear maps between complete locally convex spaces
Carlos Bosch Giral, César L. García, Thomas E. Gilsdorf +2
Starting from Sinclair's 1976 work {\it Automatic Continuity of Linear Operators}, Cambridge University Press, (1976), on automatic continuity of linear operators on Banach spaces,…