The STUDIA UNIVERSITATIS BABE┼×-BOLYAI issue article summary

The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.

 
       
         
    STUDIA MATHEMATICA - Issue no. 2 / 2012  
         
  Article:   ON A COMPLEX MULTIDIMENSIONAL APPROXIMATION THEOREM AND ITS APPLICATIONS TO A COMPLEX OPERATOR-VALUED MOMENT PROBLEMS.

Authors:  .
 
       
         
  Abstract:  

The present note gives a proof to an approximation theorem of some holomorphic function, positively defined on a compact set in the unit polydisc in C2m, with complex polynomials of a special type. This theorem is only enunciated in [3], without proof. We also underline in Theorem 5.1, section 5, some useful applications of the approximation theorem in solving a complex, operator-valued moment problem on the closed unit polydisc in Cm. The presented Theorem 5.1 gives another proof of Theorem 3.4. and Theorem 1.2.17. in [27], [28].

Mathematics Subject Classification (2010): 42A70, 15B05, 15B48.

Keywords: Holomorphic function, subnormal operator, joint spectral measure, linear functional, scalar measure associated to a spectral measure, complex and real moment problem.

 
         
     
         
         
      Back to previous page