An operator equality involving a continuous field of operators and its norm inequalities
Linear Algebra and its Applications, ISSN: 0024-3795, Vol: 429, Issue: 8, Page: 2159-2167
2008
- 2Citations
- 7Usage
- 5Captures
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Metrics Details
- Citations2
- Citation Indexes2
- CrossRef1
- Usage7
- Downloads4
- Abstract Views3
- Captures5
- Readers5
Article Description
Let A be a C∗ -algebra, T be a locally compact Hausdorff space equipped with a probability measure P and let (At)t∈T be a continuous field of operators in A such that the function t↦At is norm continuous on T and the function t↦‖At‖ is integrable. Then the following equality including Bouchner integrals holds
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0024379508003157; http://dx.doi.org/10.1016/j.laa.2008.06.010; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=49249127747&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0024379508003157; https://api.elsevier.com/content/article/PII:S0024379508003157?httpAccept=text/xml; https://api.elsevier.com/content/article/PII:S0024379508003157?httpAccept=text/plain; https://nsuworks.nova.edu/math_facarticles/27; https://nsuworks.nova.edu/cgi/viewcontent.cgi?article=1026&context=math_facarticles; https://dx.doi.org/10.1016/j.laa.2008.06.010
Elsevier BV
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