Výsledky vyhledávání - "Gilsdorf, Thomas"

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Valdivia's lifting theorem for non-metrizable spaces. Preprint

Autor: Gilsdorf, Thomas E.

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 extended to a strictly larger collection of range spaces. Specifically,

Externí odkaz: http://arxiv.org/abs/2205.15497

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Inductive limits of quasi locally Baire spaces

Autor: Gilsdorf, Thomas E.

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 webbed spaces is regular if it is quasi-locally Baire. This extends Qiu's

Externí odkaz: http://arxiv.org/abs/2105.06358

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Eventually constant intertwining linear maps between complete locally convex spaces

Autor: Giral, Carlos Bosch, García, César L., Gilsdorf, Thomas E., Wulschner, Claudia Gómez, Vera, Rigoberto

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, we prove that sequences of intertwining continuous linear maps are ev

Externí odkaz: http://arxiv.org/abs/2003.14164

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On Docile Spaces, Mackey First Countable Spaces, and Sequentially Mackey First Countable Spaces

Autor: Giral, Carlos Bosch, García, César L., Gilsdorf, Thomas E., Wulschner, Claudia Gómez, Vera, Rigoberto

Publikováno v: International Journal of Mathematical Analysis, Vol. 11, 2017, no. 8, 377 - 388

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 spaces. More precisely, we show that docile spaces are sequentially Mackey

Externí odkaz: http://arxiv.org/abs/2003.14165

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Existence and Uniqueness for Nonlinear Integro-Differential Equations in Real Locally Complete Spaces

Autor: Gilsdorf, Thomas E., Khavanin, Mohammad

Publikováno v: Scientiae Mathematicae Japonicae, vol. 76, no. 3, (2013), 395-400

We extend existence and uniqueness results of [4] for nonlinear integro-differential equations of Volterra type between real locally complete vector spaces

Externí odkaz: http://arxiv.org/abs/2003.09480

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