Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Thomas E. Gilsdorf"'
Autor:
Carlos Bosch, Thomas E. Gilsdorf
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 19, Iss 4, Pp 727-732 (1996)
A strictly barrelled disk B in a Hausdorff locally convex space E is a disk such that the linear span of B with the topology of the Minkowski functional of B is a strictly barrelled space. Valdivia's closed graph theorems are used to show that closed
Externí odkaz:
https://doaj.org/article/74cb29dd8aa241ae83b46dc70604ce2d
Autor:
Józef Burzyk, Thomas E. Gilsdorf
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 18, Iss 4, Pp 659-664 (1995)
In this paper, we examine Mackey convergence with respect to K-convergence and bornological (Hausdorff locally convex) spaces. In particular, we prove that: Mackey convergence and local completeness imply property K; there are spaces having K- conver
Externí odkaz:
https://doaj.org/article/73a551d33f45475a99cb8c45a8f8587a
Autor:
Thomas E. Gilsdorf
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 14, Iss 1, Pp 17-26 (1991)
The problem of characterizing those locally convex spaces satisfying the Mackey convergence condition is still open. Recently in [4], a partial description was given using compatible webs. In this paper, those results are extended by using quasi-sequ
Externí odkaz:
https://doaj.org/article/b35f8d9b369745f5980117f9d8a52d19
Autor:
Thomas E. Gilsdorf
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 14, Iss 3, Pp 610-610 (1991)
Externí odkaz:
https://doaj.org/article/9f27c3c002cb4f4c874a5a560e117442
Autor:
Thomas E. Gilsdorf
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 11, Iss 3, Pp 473-483 (1988)
If each sequence converging to 0 in a locally convex space is also Mackey convergent to 0, that space is said to satisfy the Mackey convergence condition. The problem of characterizing those locally convex spaces with this property is still open. In
Externí odkaz:
https://doaj.org/article/0d8acd2e014446bc87a06086edc69510
Autor:
Thomas E. Gilsdorf
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 12, Iss 3, Pp 447-450 (1989)
Externí odkaz:
https://doaj.org/article/249f67035b644c99ac0d12ef11eca2a6
Autor:
Thomas E. Gilsdorf
Publikováno v:
Asian-European Journal of Mathematics. 15
Quasi-locally complete locally convex spaces are generalized 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 theorem on regulari
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::275e0707b2acd640124f5ad8f75e55e8
https://doi.org/10.1142/s1793557122500747
https://doi.org/10.1142/s1793557122500747
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3085336f7dbd470f8663c0ecb3755d7
http://arxiv.org/abs/2003.14165
http://arxiv.org/abs/2003.14165
Publikováno v:
Fixed Point Theory and Applications, Vol 2017, Iss 1, Pp 1-11 (2017)
We prove an extension of the Pareto optimization criterion to locally complete locally convex vector spaces to guarantee the existence of fixed points of set-valued maps.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c1cf7c1466e2f44951da24de24953f5
https://doi.org/10.1186/s13663-017-0607-y
https://doi.org/10.1186/s13663-017-0607-y
Publikováno v:
Acta Mathematica Sinica, English Series. 27:737-740
We define a generalization of Mackey first countability and prove that it is equivalent to being docile. A consequence of the main result is to give a partial affirmative answer to an old question of Mackey regarding arbitrary quotients of Mackey fir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5a9d91b223af297c7fd549ce01764fe
https://doi.org/10.1007/s10114-011-8540-1
https://doi.org/10.1007/s10114-011-8540-1