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On Fuglede-Putnam properties

Title
On Fuglede-Putnam properties
Authors
Jo, SeonjinKim, YoenhaKo, Eungil
Ewha Authors
고응일김연하
SCOPUS Author ID
고응일scopus
Issue Date
2015
Journal Title
POSITIVITY
ISSN
1385-1292JCR Link1572-9281JCR Link
Citation
vol. 19, no. 4, pp. 911 - 925
Keywords
Fuglede-Putnam theoremCommutatorGeneralized commutatorAluthge transformNormal operator
Publisher
SPRINGER
Indexed
SCIE; SCOPUS WOS scopus
Abstract
In this paper, we study the Fuglede-Putnam property. We give a necessary and sufficient condition for which (circle plus(n)(i=1) A(i), circle plus B-n(i=1)i)satisfies the Fuglede-Putnam property. We also study the local spectral theory associated with the Fuglede-Putnam property. Finally, we define the weak Fuglede-Putnam property and we investigate several cases which satisfy the weak Fuglede-Putnam property.
DOI
10.1007/s11117-015-0335-7
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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