On some approximations and main topological descriptions for special classes of Banach spaces with integrable derivatives

Abstract

We consider some classes of Banach spaces with integrable derivatives. An important compactness lemma for nonreflexive spaces is obtained. However some main topological properties for the given spaces are obtained.

Full Text

Article Information

Title	On some approximations and main topological descriptions for special classes of Banach spaces with integrable derivatives
Source	Methods Funct. Anal. Topology, Vol. 14 (2008), no. 3, 255-270
MathSciNet	MR2458490
Copyright	The Author(s) 2008 (CC BY-SA)

Authors Information

Pavlo Kasyanov
Kyiv National Taras Shevchenko University, Kyiv, Ukraine

Valeriy Mel'nik
Institute for Applied and System Analysis National Academy of Sciences of Ukraine, Kyiv, Ukraine

Anna Maria Piccirillo
Second University of Naples, Aversa, Italy 

Citation Example

Pavlo Kasyanov, Valeriy Melʹnik, and Anna Maria Piccirillo, On some approximations and main topological descriptions for special classes of Banach spaces with integrable derivatives, Methods Funct. Anal. Topology 14 (2008), no. 3, 255-270.

BibTex

@article {MFAT425,
    AUTHOR = {Kasyanov, Pavlo and Melʹnik, Valeriy and Piccirillo, Anna Maria},
     TITLE = {On some approximations and main topological descriptions for special classes of Banach spaces with integrable derivatives},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {14},
      YEAR = {2008},
    NUMBER = {3},
     PAGES = {255-270},
      ISSN = {1029-3531},
  MRNUMBER = {MR2458490},
       URL = {http://mfat.imath.kiev.ua/article/?id=425},
}