Birkhoff–James ε -orthogonality sets of vectors and vector-valued polynomials
Journal of Mathematical Analysis and Applications, ISSN: 0022-247X, Vol: 454, Issue: 1, Page: 59-78
2017
- 4Citations
- 1Captures
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
Consider a complex normed linear space (X,‖⋅‖), and let χ,ψ∈X with ψ≠0. Motivated by recent works on rectangular matrices and on normed linear spaces, we study the Birkhoff–James ε -orthogonality set of χ with respect to ψ, give an alternative definition for this set, and explore its rich structure. We also introduce the Birkhoff–James ε -orthogonality set of polynomials in one complex variable whose coefficients are members of X, and survey and record extensions of results on matrix polynomials to these vector-valued polynomials.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0022247X17303876; http://dx.doi.org/10.1016/j.jmaa.2017.04.033; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85018780077&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0022247X17303876; https://dul.usage.elsevier.com/doi/; https://api.elsevier.com/content/article/PII:S0022247X17303876?httpAccept=text/plain; https://api.elsevier.com/content/article/PII:S0022247X17303876?httpAccept=text/xml; https://dx.doi.org/10.1016/j.jmaa.2017.04.033
Elsevier BV
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know