Advances in Operator Theory

$C^*$-algebra distance filters

Tristan Bice and Alessandro Vignati

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‎We use nonsymmetric distances to give a self-contained account of $C^*$-algebra filters and their corresponding compact projections‎, ‎simultaneously simplifying and extending their general theory‎.

Article information

Adv. Oper. Theory, Volume 3, Number 3 (2018), 655-681.

Received: 10 October 2017
Accepted: 4 March 2018
First available in Project Euclid: 4 April 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 46L05: General theory of $C^*$-algebras
Secondary: 06A75: Generalizations of ordered sets ‎46L85‎ ‎54E99

$C^*$-algebra filter‎ ‎‎compact projection nonsymmetric distance


Bice, Tristan; Vignati, Alessandro. $C^*$-algebra distance filters. Adv. Oper. Theory 3 (2018), no. 3, 655--681. doi:10.15352/aot.1710-1241.

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