One remark about the unconditional exponential bases and cosine bases, connected with them

Abstract

In the paper we consider examples of basis families $\{\cos \lambda_k t\}^\infty_1$, $\lambda_k>0$, in the space $L_2(0,\sigma)$, such that systems $\{e^{i\lambda_kt},e^{-i\lambda_kt}\}^\infty_1$ don't form an unconditional basis in space $L_2(-\sigma,\sigma)$.

Full Text

Article Information

Title	One remark about the unconditional exponential bases and cosine bases, connected with them
Source	Methods Funct. Anal. Topology, Vol. 14 (2008), no. 4, 330-333
MathSciNet	MR2469072
Copyright	The Author(s) 2008 (CC BY-SA)

Authors Information

G. M. Gubreev
Poltava National Technical University, 24 Pervomaiskii prospect, Poltava, 36011, Ukraine

M. G. Volkova
South-Ukrainian Pedagogical University, Odessa, Ukraine 

Citation Example

G. M. Gubreev and M. G. Volkova, One remark about the unconditional exponential bases and cosine bases, connected with them, Methods Funct. Anal. Topology 14 (2008), no. 4, 330-333.

BibTex

@article {MFAT482,
    AUTHOR = {Gubreev, G. M. and Volkova, M. G.},
     TITLE = {One remark about the unconditional exponential bases and cosine bases, connected with them},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {14},
      YEAR = {2008},
    NUMBER = {4},
     PAGES = {330-333},
      ISSN = {1029-3531},
  MRNUMBER = {MR2469072},
       URL = {http://mfat.imath.kiev.ua/article/?id=482},
}