Open Access
June 2016 Categorical construction of the ring of fractions
Mitali Routaray, A. Behera
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Tbilisi Math. J. 9(1): 1-8 (June 2016). DOI: 10.1515/tmj-2016-0001

Abstract

It is shown that the ring of fractions of the algebra of all bounded linear operators on a separable infinite dimensional Banach space is isomorphic to the Adams completion of the algebra with respect to a carefully chosen set of morphisms in the category of separable infinite dimensional Banach spaces and bounded linear norm preserving operators of norms at most 1.

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Mitali Routaray. A. Behera. "Categorical construction of the ring of fractions." Tbilisi Math. J. 9 (1) 1 - 8, June 2016. https://doi.org/10.1515/tmj-2016-0001

Information

Received: 21 June 2015; Accepted: 15 December 2015; Published: June 2016
First available in Project Euclid: 12 June 2018

zbMATH: 1382.46058
MathSciNet: MR3456779
Digital Object Identifier: 10.1515/tmj-2016-0001

Subjects:
Primary: 47B07
Secondary: 55P60

Keywords: Adams completion , Calculus of left fractions , Category of fractions , Grothedieck universe , Ring of fractions

Rights: Copyright © 2016 Tbilisi Centre for Mathematical Sciences

Vol.9 • No. 1 • June 2016
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