Title of article
On mappings approximately preserving orthogonality
Author/Authors
Aleksej Turn?ek، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
7
From page
625
To page
631
Abstract
We answer a question posed by Chmieli´nski, whether a linear map which approximately preserves orthogonality
must be close to an orthogonality preserving one. Furthermore, we give a short proof of the
stability of the orthogonality equation on finite dimensional Hilbert spaces.
© 2007 Elsevier Inc. All rights reserved
Keywords
Orthogonality equation , Approximate orthogonality , stability , Orthogonality preserving mapping
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
936289
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