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Corrigendum to: “Exact essential norm of generalized Hilbert matrix operators on classical analytic function spaces”.(English)Zbl 1548.47008

Summary: In this note, we provide a corrected proof of Lemma 3.2 in our paper [ibid. 408, Part B, Article ID 108598, 34 p. (2022;Zbl 1544.47069)]. We also point out some improvements to Remark 5.5 in the same paper.

MSC:

47B91 Operators on complex function spaces
47B33 Linear composition operators
30H20 Bergman spaces and Fock spaces
30H10 Hardy spaces
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
47A30 Norms (inequalities, more than one norm, etc.) of linear operators

Citations:

Zbl 1544.47069

Cite

References:

[1]Brezis, H.; Lieb, E., A relation between pointwise convergence of functions and convergence of functionals, Proc. Am. Math. Soc., 88, 486-490, 1983 ·Zbl 0526.46037
[2]Kalton, N. J., M-ideals of compact operators, Ill. J. Math., 37, 1, 147-169, 1993 ·Zbl 0824.46029
[3]Kalton, N. J.; Werner, D., Property (M), M-ideals, and almost isometric structure of Banach spaces, J. Reine Angew. Math., 461, 137-178, 1995 ·Zbl 0823.46018
[4]Lindström, M.; Miihkinen, S.; Norrbo, D., Exact essential norm of generalized Hilbert matrix operators on classical analytic function spaces, Adv. Math., 408, Article 108598 pp., 2022 ·Zbl 1544.47069
[5]Montes-Rodriguez, A., Weighted composition operators on weighted Banach spaces of analytic functions, J. Lond. Math. Soc. (2), 61, 3, 872-884, 2000 ·Zbl 0959.47016
[6]Werner, D., Funktionalanalysis, 2011, Springer-Verlag: Springer-Verlag Berlin, Heidelberg ·Zbl 1234.46002
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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