[EN] Let (A, D(A)) be a densely defined operator on a Banach space X. Characterizations of when (A, D(A)) generates a C-0-semigroup on X are known. The famous result of Lumer and Phillips states that it is so if and only ...
Okada, S.; Ricker, W. J.; Sánchez Pérez, Enrique Alfonso(Polish Academy od Sciences. Institute of Matematics, 2014)
The spaces L1(m) of all m-integrable (resp. L1w(m) of all scalarly m-integrable) functions for a
vector measure m, taking values in a complex locally convex Hausdorff space X (briefly, lcHs),
are themselves lcHs for the ...
Sioen, M.; Verwulgen, S.(Universitat Politècnica de València, 2003-10-01)
[EN] We continue the investigation of suitable structures for quantified functional analysis, by looking at the notion of local convexity in the setting of approach vector spaces as introduced in [6]. We prove that the ...
Albanese, Angela Anna; Bonet Solves, José Antonio; Ricker, Werner Joseph(Springer Verlag (Germany), 2012-09)
We present criteria for determining mean ergodicity of C 0-semigroups of linear operators in a sequentially complete, locally convex Hausdorff space X. A characterization of reflexivity of certain spaces X with a basis via ...
Albanese, Angela Anna; Bonet Solves, José Antonio; Ricker, Werner Joseph(Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2013-05)
For C-0-semigroups of continuous linear operators acting in a Banach space criteria are available which are equivalent to uniform mean ergodicity of the semigroup, meaning the existence of the limit (in the operator norm) ...
Kakol, Jerzy Marian; López Pellicer, Manuel(Springer, 2011)
[EN] This survey paper collects some of older and quite new concepts and results from descriptive set topology applied to study certain infinite-dimensional topological vector spaces appearing in Functional Analysis, ...