The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
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Proceedings of the National Academy of Sciences (PNAS), a peer reviewed journal of the National Academy of Sciences (NAS) - an authoritative source of high-impact, original research that broadly spans the biological, physical, and social sciences.
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Citations
Cites
On a Theorem of Weyl Concerning Eigenvalues of Linear Transformations I
Fan, K. (1949) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.35.11.652 · Cited by 1,016
Self-citationInequalities between the Two Kinds of Eigenvalues of a Linear Transformation
Weyl, H. (1949) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.35.7.408 · Cited by 372
On a Theorem of Weyl Concerning Eigenvalues of Linear Transformations
Fan, K. (1950) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.36.1.31 · Cited by 166
Self-citationOn the Singular Values of a Product of Completely Continuous Operators
Horn, A. (1950) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.36.7.374 · Cited by 102
Remark on Weyl's Note “Inequalities Between the Two Kinds of Eigenvalues of a Linear Transformation”
Pólya, G. (1950) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.36.1.49 · Cited by 42
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Bharti, K., Cervera-Lierta, A., Kyaw, T. H., Haug, T., Alperin-Lea, S., Anand, A., Degroote, M., Heimonen, H., Kottmann, J. S., Menke, T., et al. (2022) · Reviews of Modern Physics · doi:10.1103/revmodphys.94.015004 · Cited by 2,231
Federated Learning via Over-the-Air Computation
Yang, K., Jiang, T., Shi, Y., & Ding, Z. (2020) · IEEE Transactions on Wireless Communications · doi:10.1109/twc.2019.2961673 · Cited by 1,084
“Definition 1: Ky Fan k-norm [36]: The Ky Fan k-norm of vector x ∈ C is a convex function of x and is given by the sum of largest-k absolute values, i.”
BackgroundMethodA trace inequality of John von Neumann
Mirsky, L. (1975) · Monatshefte für Mathematik · doi:10.1007/bf01647331 · Cited by 343
Majorization, doubly stochastic matrices, and comparison of eigenvalues
Ando, T. (1989) · Linear Algebra and its Applications · doi:10.1016/0024-3795(89)90580-6 · Cited by 305
Metadata
- Authors
- Fan, K.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 1951-11
- Volume
- 37
- Issue
- 11
- Pages
- 760-766
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2167844587
- Cited by
- 459
- References
- 5
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- green
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- Fan, K. (1951). Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.37.11.760
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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