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   Articles with "approximation property" as a keyword



The approximation properties determined by operator ideals

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recommendations! Published in 2017 at "Acta Mathematica Sinica, English Series"

DOI: 10.1007/s10114-016-6009-y

Abstract: We introduce the notion of the right approximation property with respect to an operator ideal A and solve the duality problem for the approximation property with respect to an operator ideal A, that is, a… read more here.

Keywords: operator ideal; approximation property; property respect; approximation ... See more keywords

The Lipschitz bounded approximation property for operator ideals

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recommendations! Published in 2021 at "Banach Journal of Mathematical Analysis"

DOI: 10.1007/s43037-021-00164-4

Abstract: In this article, we introduce the Lipschitz bounded approximation property for operator ideals. With this notion, we extend the original work of Godefroy and Kalton and give some partial answers on equivalence between the bounded… read more here.

Keywords: bounded approximation; operator; approximation property; approximation ... See more keywords

Nested Artin strong approximation property

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recommendations! Published in 2017 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2017.05.008

Abstract: Abstract We study the Artin Approximation property with constraints in a different frame. As a consequence we give a nested Artin Strong Approximation property for algebraic power series rings over a field. read more here.

Keywords: approximation property; approximation; artin strong; nested artin ... See more keywords

The ασ-Approximation Property and Its Related Operator Ideals

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recommendations! Published in 2024 at "Mathematics"

DOI: 10.3390/math12132006

Abstract: In this paper, we study the σ-tensor norm (ασ), the absolutely τ-summing operator and the σ-nuclear operator. We characterize the ασ-approximation property in terms of some density of the space of absolutely τ-summing operators. When… read more here.

Keywords: operator; approximation property; related operator; property related ... See more keywords