## Tbilisi Mathematical Journal

### Categorical construction of the ring of fractions

#### 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.

#### Article information

Source
Tbilisi Math. J., Volume 9, Issue 1 (2016), 1-8.

Dates
Accepted: 15 December 2015
First available in Project Euclid: 12 June 2018

https://projecteuclid.org/euclid.tbilisi/1528769037

Digital Object Identifier
doi:10.1515/tmj-2016-0001

Mathematical Reviews number (MathSciNet)
MR3456779

Zentralblatt MATH identifier
1382.46058

Subjects
Primary: 47B07: Operators defined by compactness properties
Secondary: 55P60: Localization and completion

#### Citation

Routaray, Mitali; Behera, A. Categorical construction of the ring of fractions. Tbilisi Math. J. 9 (2016), no. 1, 1--8. doi:10.1515/tmj-2016-0001. https://projecteuclid.org/euclid.tbilisi/1528769037

#### References

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