Banach lattice versions of strict singularity
Journal of Functional Analysis, ISSN: 0022-1236, Vol: 270, Issue: 7, Page: 2715-2731
2016
- 5Citations
- 2Captures
Metric Options: Counts1 Year3 YearSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Article Description
We explore the relation between lattice versions of strict singularity for operators from a Banach lattice to a Banach space. In particular, we study when the class of disjointly strictly singular operators, those not invertible on the span of any disjoint sequence, coincides with that of lattice strictly singular operators, i.e. those not invertible on any (infinite dimensional) sublattice. New results are given which help to clarify the existing relation between these two classes.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0022123616000227; http://dx.doi.org/10.1016/j.jfa.2016.01.012; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84959175739&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0022123616000227; https://dul.usage.elsevier.com/doi/; https://api.elsevier.com/content/article/PII:S0022123616000227?httpAccept=text/xml; https://api.elsevier.com/content/article/PII:S0022123616000227?httpAccept=text/plain; https://dx.doi.org/10.1016/j.jfa.2016.01.012
Elsevier BV
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know