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An Alternative Approach to Weighted Non-commutative Banach Function Spaces

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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… Click to show full 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 function spaces using weighted non-commutative decreasing rearrangements and prove that this approach is equivalent to the original approach by Labuschagne and Majewski.

Keywords: weighted non; alternative approach; non commutative; function; commutative banach

Journal Title: Complex Analysis and Operator Theory
Year Published: 2019

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