Bounds for the singular values of smooth kernels

Ching-Hua Chang; Chung-Wei Ha

Colloquium Mathematicae (1998)

  • Volume: 78, Issue: 2, page 319-324
  • ISSN: 0010-1354

How to cite

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Chang, Ching-Hua, and Ha, Chung-Wei. "Bounds for the singular values of smooth kernels." Colloquium Mathematicae 78.2 (1998): 319-324. <http://eudml.org/doc/210618>.

@article{Chang1998,
author = {Chang, Ching-Hua, Ha, Chung-Wei},
journal = {Colloquium Mathematicae},
keywords = {Hilbert-Schmidt operators; singular values; upper bounds; smooth kernels},
language = {eng},
number = {2},
pages = {319-324},
title = {Bounds for the singular values of smooth kernels},
url = {http://eudml.org/doc/210618},
volume = {78},
year = {1998},
}

TY - JOUR
AU - Chang, Ching-Hua
AU - Ha, Chung-Wei
TI - Bounds for the singular values of smooth kernels
JO - Colloquium Mathematicae
PY - 1998
VL - 78
IS - 2
SP - 319
EP - 324
LA - eng
KW - Hilbert-Schmidt operators; singular values; upper bounds; smooth kernels
UR - http://eudml.org/doc/210618
ER -

References

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  1. [1] S. L. Bljumin [S. L. Blyumin] and B. D. Kotljar [B. D. Kotlyar], Hilbert-Schmidt operators and the absolute convergence of Fourier series, Math. USSR-Izv. 4 (1970), 215-223. Zbl0216.16702
  2. [2] K. Fan, Maximum properties and inequalities for the eigenvalues of completely continuous operators, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 760-766. Zbl0044.11502
  3. [3] I. Fredholm, Sur une classe d'équations fonctionnelles, Acta Math. 27 (1903), 365-390. Zbl34.0422.02
  4. [4] I. C. Gohberg and M. G. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators, Transl. Math. Monographs, 18, Amer. Math. Soc., Providence, R.I., 1969. Zbl0181.13504
  5. [5] C. Oehring, Singular numbers of smooth kernels II, Math. Proc. Cambridge Philos. Soc. 105 (1989), 165-167. 
  6. [6] J. Weidmann, Integraloperatoren der Spurklasse, Math. Ann. 163 (1966), 340-345. 
  7. [7] H. Weyl, Das Asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen, ibid. 71 (1912), 441-479. Zbl43.0436.01
  8. [8] A. Zygmund, Trigonometric Series, Vol. 1, Cambridge Univ. Press, Cambridge, 1968. Zbl0157.38204

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