scholarly journals Metrizability of spaces of valuation domains associated to pseudo-convergent sequences

2021 ◽  
Author(s):  
G. Peruginelli ◽  
D. Spirito
Keyword(s):  
Valuation Domains ◽  
Convergent Sequences

Some classes of ideal convergent sequences and generalized difference matrix operator

Filomat ◽  
2017 ◽  
Vol 31 (6) ◽  
pp. 1827-1834 ◽  
Author(s):  
S.A. Mohiuddine ◽  
B. Hazarika
Keyword(s):  
Matrix Operator ◽  
Difference Matrix ◽  
Convergent Sequences

On inert modules over valuation domains

2019 ◽  
Vol 79 (1) ◽  
pp. 120-133
Author(s):  
Luigi Salce
Keyword(s):  
Valuation Domains

scholarly journals An Independence Result on Cotorsion Theories over Valuation Domains

2001 ◽  
Vol 243 (1) ◽  
pp. 294-320 ◽  
Author(s):  
S Bazzoni ◽  
L Salce
Keyword(s):  
Independence Result ◽  
Valuation Domains

The Subspace of Almost Convergent Sequences

2021 ◽  
Vol 62 (4) ◽  
pp. 616-620
Author(s):  
R. E. Zvolinskii ◽  
E. M. Semenov
Keyword(s):  
Convergent Sequences

Spaces of Ideal Convergent Sequences of Bounded Linear Operators

2018 ◽  
Vol 39 (12) ◽  
pp. 1278-1290 ◽  
Author(s):  
Vakeel A. Khan ◽  
Kamal M. A. S. Alshlool ◽  
Sameera A. A. Abdullah
Keyword(s):  
Linear Operators ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Convergent Sequences

Matrix Transformations in an Incomplete Space

1968 ◽  
Vol 20 ◽  
pp. 727-734 ◽  
Author(s):  
I. J. Maddox
Keyword(s):  
Linear Space ◽  
Cauchy Sequence ◽  
Convergent Sequence ◽  
Convergent Series ◽  
Matrix Transformations ◽  
Cauchy Sequences ◽  
Complex Linear ◽  
Incomplete Space ◽  
Bounded Sequences ◽  
Convergent Sequences

Let X = (X, p) be a seminormed complex linear space with zero θ. Natural definitions of convergent sequence, Cauchy sequence, absolutely convergent series, etc., can be given in terms of the seminorm p. Let us write C = C(X) for the set of all convergent sequences for the set of Cauchy sequences; and L∞ for the set of all bounded sequences.

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