Blueprint:
s-Numbers of Bounded Linear Operators
between Banach Spaces

References

1

B. Carl, A. Pietsch, Some contributions to the theory of s-numbers, Comment. Math. (Prace Mat.) 21, 65–76, 1978, link.

2

D. J. H. Garling, Y. Gordon, Relations between some constants associated with finite dimensional Banach spaces, Israel J. Math. 9 (1971), 346–361, doi.

3

F. John, Extremum problems with inequalities as subsidiary conditions, in: Studies and Essays presented to R. Courant on his 60th Birthday, Interscience, New York, 1948, 187–204; reprinted in: Fritz John, Collected Papers, Volume 2, Birkhäuser, 1985, 543–560, doi.

4

M. I. Kadets, M. G. Snobar, Certain functionals on the Minkowski compactum, Mat. Zametki 10 (1971), 453–457, link; English transl. in Math. Notes 10 (1971), 694–696, doi.

5

B. S. Mityagin, G. M. Henkin, Inequalities between \(n\)-diameters, in: Proc. of the Seminar on Functional Analysis 7, Voronezh, 97–103, 1963.

6

A. Pietsch, s-numbers of operators in Banach spaces, Studia Math. 51 (1974), 201–223, doi.

7

A. Pietsch, Operator ideals, North-Holland Mathematical Library 20, North-Holland, 1980, doi.

8

A. Pietsch, Eigenvalues and s-numbers, Cambridge Studies in Advanced Mathematics 13, Cambridge University Press, 1987, link.

9

M. Ullrich, Inequalities between s-numbers, Adv. Oper. Theory 9 (2024), no. 4, article 82, doi, arxiv.

10

M. Ullrich, On bounds between all s-numbers and widths of convex sets, preprint, 2026, arxiv.