Hostname: page-component-76fb5796d-22dnz Total loading time: 0 Render date: 2024-04-25T11:27:21.144Z Has data issue: false hasContentIssue false

On an angle between two rings

Published online by Cambridge University Press:  17 April 2009

Grzegorz Rzadkowski
Affiliation:
Institute of Mathematics, Agricultural University Nowoursynowska, 166 02-766, Warsaw, Poland
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Jakóbczak and Mazur found the L2-angle between two concentric rings on the complex plane. In this note we investigate the same case but for spaces of square integrable functions with various weights. Moreover the continuity of the L2-angle for the Fock space is examined.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Jakóbczak, J. and Mazur, T., ‘On discontinuity of L 2-angle’, J. Austral. Math. Soc. 47 (1989), 269279.CrossRefGoogle Scholar
[2]Ramadanov, I.P. and Skwarczyński, M.L., ‘An angle in L 2(C) determined by two plane domains’, Bull. Polish Acad. Sci. Math. 32 (1984), 653659.Google Scholar
[3]Skwarczyński, M., ‘Alternating projections in complex analysis’, in Complex Analysis and Applications, Editors Iliev, L. and Ramadanov, I., pp. 192199 (Bulgar. Acad. Sci., 1985).Google Scholar
[4]Skwarczyński, M., ‘A general description of the Bergman projection’, Ann. Polon. Math. 46 (1985), 311315.Google Scholar
[5]Skwarczyński, M., ‘Alternating projections between a strip and a halfplane’, Math. Proc. Cambridge Philos. Soc. 102 (1987), 121129.CrossRefGoogle Scholar
[6]Skwarczyński, M., ‘L 2-angles between one-dimensional tubes’, Studia Math. 90 (1988), 213233.Google Scholar