About: On differentiability of convex operators     Goto   Sponge   Distinct   Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

AttributesValues
rdf:type
rdfs:seeAlso
Description
  • The main known results on differentiability of continuous convex operators f from a Banach space X to an ordered Banach space Y are due to J.M. Borwein and N.K. Kirov. Our aim is to prove some %22supergeneric%22 results, i.e., to show that, sometimes, the set of Gateaux or Frechet nondifferentiability points is not only a first-category set, but also smaller in a stronger sense. For example, we prove that if Y is countably Daniell and the space L(X, Y) of bounded linear operators is separable, then each continuous convex operator f:X -> Y is Frechet differentiable except for a Gamma-null angle-small set. Some applications of such supergeneric results are shown.
  • The main known results on differentiability of continuous convex operators f from a Banach space X to an ordered Banach space Y are due to J.M. Borwein and N.K. Kirov. Our aim is to prove some %22supergeneric%22 results, i.e., to show that, sometimes, the set of Gateaux or Frechet nondifferentiability points is not only a first-category set, but also smaller in a stronger sense. For example, we prove that if Y is countably Daniell and the space L(X, Y) of bounded linear operators is separable, then each continuous convex operator f:X -> Y is Frechet differentiable except for a Gamma-null angle-small set. Some applications of such supergeneric results are shown. (en)
Title
  • On differentiability of convex operators
  • On differentiability of convex operators (en)
skos:prefLabel
  • On differentiability of convex operators
  • On differentiability of convex operators (en)
skos:notation
  • RIV/00216208:11320/13:10189658!RIV14-GA0-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/0067), P(GAP201/12/0436)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 93689
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/13:10189658
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Gateaux differentiability; Frechet differentiability; Convex operators; Banach lattices; Ordered normed spaces (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [38E3C75D4CCD]
http://linked.open...i/riv/nazevZdroje
  • Journal of Mathematical Analysis and Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 402
http://linked.open...iv/tvurceVysledku
  • Veselý, Libor
  • Zajíček, Luděk
http://linked.open...ain/vavai/riv/wos
  • 000315836900002
issn
  • 0022-247X
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.jmaa.2012.12.073
http://localhost/t...ganizacniJednotka
  • 11320
Faceted Search & Find service v1.16.118 as of Jun 21 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 84 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software