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On discontinuity of l2-angle

Part of: Geometric function theory Linear function spaces and their duals

Published online by Cambridge University Press:  09 April 2009

Piotr Jakóbczak  and
Tomasz Mazur
Piotr Jakóbczak
Affiliation:
Instytut Matematyki Uniwersytet Jagielloński ul. Reymonta 4 30-059 Kraków, Poland
Tomasz Mazur
Affiliation:
Zaklad Matematyki WSI Radom ul. Malczewskiego 29 26-600 Radom, Poland
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Abstract

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In this note the L2-angle between two concentric rings and between the ring and the exterior of the disc in the complex plane are calculated. In the second part we prove that the L2-angles between domains A and B and between A × C and B × C are equal. We give also some examples of discontinuity of the L2-angle between domains.

MSC classification

Secondary: 30C40: Kernel functions and applications 46E20: Hilbert spaces of continuous, differentiable or analytic functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 47 , Issue 2 , October 1989 , pp. 269 - 279
Copyright
Copyright © Australian Mathematical Society 1989

References

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