ISSN 1683-3414 (Print)   •   ISSN 1814-0807 (Online)
   Log in
 

Contacts

Address: Vatutina st. 53, Vladikavkaz,
362025, RNO-A, Russia
Phone: (8672)23-00-54
E-mail: rio@smath.ru

 

 

 

ßíäåêñ.Ìåòðèêà

Dear authors!
Submission of all materials is carried out only electronically through Online Submission System in personal account.
DOI: 10.23671/VNC.2012.14.10955

Kantorovich's principle in action: \(AW^\ast\)-modules and Injective Banach lattices

Kusraev A. G.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 1.
Abstract:
Making use of Boolean valued representation it is proved that Kaplansky-Hilbert lattices and injective Banach lattices may be produced from each other by means of the convexification procedure. The relationship between the Kantorovich's heuristic principle and the Boolean value transfer principle is also discussed.
Keywords: Kantorovich's principle, Kaplansly--Hilbert module, injective Banach lattice, Boolean valued analysis, Boolean valued representation, Maharam operator, square of a vector lattice, convexification
Language: English Download the full text  
For citation: Kusraev A. G. Kantorovich's principle in action: \(AW^\ast\)-modules and Injective Banach lattices. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], 2012, vol. 14, no. 1, pp. 67-74. DOI 10.23671/VNC.2012.14.10955


← Contents of issue
 
  | Home | Editorial board | Publication ethics | Peer review guidelines | Latest issue | All issues | Rules for authors | Online submission system’s guidelines | Submit manuscript |  
© 1999-2024 Þæíûé ìàòåìàòè÷åñêèé èíñòèòóò