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.2019.21.44626

The Gordon Theorem: Origins and Meaning

Kusraev, A. G. , Kutateladze, S. S.
Vladikavkaz Mathematical Journal 2019. Vol. 21. Issue 4.
Abstract:
Boolean valued analysis, the term coined by Takeuti, signifies a branch of functional analysis which uses a special  technique of Boolean valued models of set theory. The fundamental result of Boolean valued analysis is Gordon’s Theorem stating that each internal field of reals of a Boolean valued model descends into a universally complete vector lattice. Thus, a remarkable opportunity opens up to expand and enrich the mathematical knowledge by translating information about the reals to the language of other branches of functional analysis. This is a brief overview of the mathematical events around the Gordon Theorem. The  relationship between the Kantorovich's heuristic principle and   Boolean valued transfer principle is also discussed.
Keywords: vector lattice, Kantorovich's principle, Gordon's theorem, Boolean valued analysis.
Language: English Download the full text  
For citation: Kusraev, A. G. and Kutateladze, S. S. The Gordon Theorem: Origins and Meaning, Vladikavkaz Math. J., 2019, vol. 21, no. 4, pp.63-70. DOI 10.23671/VNC.2019.21.44626
+ References


← 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