On the Factorization of Matrices Over Commutative Banach Algebras
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DOI: 10.1007/s00020-018-2436-8
Abstract: Let A be a commutative unital complex Banach algebra and let $$GL_n(A)$$GLn(A) be the group of invertible $$n\times n$$n×n matrices with entries in A. In this paper we study the problem of the representation of… read more here.
Keywords: matrices commutative; banach algebras; factorization matrices; banach ... See more keywords
An Alternative Approach to Weighted Non-commutative Banach Function Spaces
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DOI: 10.1007/s11785-019-00909-y
Abstract: We use a weighted analogue of a trace to define a weighted non-commutative decreasing rearrangement and show its relationship with the singular value function. We further show an alternative approach to constructing weighted non-commutative Banach… read more here.
Keywords: weighted non; alternative approach; non commutative; function ... See more keywords
A characterizing property of commutative Banach algebras may not be sufficient only on the invertible elements
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DOI: 10.1016/j.crma.2018.05.002
Abstract: In this article, we construct a commutative unital Banach algebra, in which the property is true for the invertible elements, but cannot be extended to the whole algebra. Resume Dans cette Note, nous construisons une… read more here.
Keywords: characterizing property; invertible elements; property commutative; banach ... See more keywords