THE CONVERGENCE ON ALGEBRAIC LATTICE NORMED SPACES
The multiplicative convergence on Riesz algebras introduced and investigated with respect to norm and order convergences. If X is a Riesz space and E is a Riesz algebra then the vector norm μ:X→E_+ can be considered. Then (X,μ,E) is called algebraic lattice normed spaces. A net (x_α )_(α∈A) in an (X,μ,E) is said to be multiplicative μ-convergent to x∈X if μ(x_α-x)∙u□(→┴o ) 0 holds for all u∈E_+. In this paper, the general properties of this convergence are studied.
1985 ◽
Vol 132
(4)
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pp. 203
2013 ◽
Vol 59
(2)
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pp. 299-320
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2015 ◽
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