scholarly journals On infinite-dimensional integer Hankel matrices

2019 ◽  
Vol 485 (6) ◽  
pp. 667-669 ◽  
Author(s):  
V. P. Platonov ◽  
M. M. Petrunin
Keyword(s):  
Parametric Family ◽  
Prime Divisors ◽  
Hankel Matrices ◽  
Infinite Dimensional ◽  
Principal Submatrices

We construct a parametric family of infinite-dimensional integer Hankel matrices, each of matrices of this family has the following property: its principal submatrices are nonsingular, and the set of prime divisors of the determinants of the principal submatrices coincides with the set of all primes.

On Infinite-Dimensional Integer Hankel Matrices

2019 ◽  
Vol 99 (2) ◽  
pp. 218-220 ◽  
Author(s):  
V. P. Platonov ◽  
M. M. Petrunin
Keyword(s):  
Hankel Matrices ◽  
Infinite Dimensional

Criterion of cyclically compactness infinite-dimensional normed module

2018 ◽  
Vol 2018 (3) ◽  
pp. 51-62
Author(s):  
V.I. Chilin ◽  
J.A. Karimov
Keyword(s):  
Infinite Dimensional ◽  
Normed Module
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