Armenian Journal of Mathematics, 6(1)
2014; 16–31
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On the Canonical Calkin Reduction Operator

Perch Melik-Adamyan*

Received: 2024-12-19 · Published: 2014-08-10

© 2014 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
On the Canonical Calkin Reduction Operator
Author
Perch Melik-Adamyan
Source journal
Armenian Journal of Mathematics, 6(1)
Published
2014-08-10
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/98

Abstract

The topic of discussion here is the reduction operator of Calkin and his methodof extensions of a Hermitian operator, variant from the von Neumann theory. Anexistence of a partial isometric reduction operator is established, which providesa link between these theories, and referred to as the canonical reduction operator.Concrete realization of discussed is applied to a canonical differential operator.
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