English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Suppose X and Y are locally convex Hausdorff spaces, H is arbitrary and S is a ring of subsets of H. The authors prove the analog of the theorem stated in [Abstract 672-372, Notices Amer. Math. Soc. 17 (1970), 188] in this setting. A theory of extended integration on function spaces with Lebesgue and non-Lebesgue type convex topologies is then developed. As applications, integralrepresentations for continuous transformations into Y for the following function spaces F (which have domain H and range X) are obtained: (1) H and 2 are arbitrary, t is a convex topology on the simple functions over S, K is a set function on S with values in L[X, Y], and F is the Lebesgue-type space generated by K; (2) H is a normal space and F is the space of continuous functions each of whose range is totally bounded, with the topology of uniform convergence; (3) H is a locally compact Hausdorff space, F is the space of continuous functions of compact support with the topology of uniform convergence; (4) His a locally compact Hausdorff space and Fis the space of continuous functions with the topology of uniform convergence on compact subsets. In the above X and Y may be replaced by topological Hausdorff spaces under certain additional compensating requirements.

Integral representations for continuous linear operators in the setting of convex topological vector spaces