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Volume 8, Issue 2, Article 52 |
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The Hypo-Euclidean Norm of an $n-$tuple of Vectors in Inner Product Spaces and Applications
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Authors: |
Sever S. Dragomir, |
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Keywords:
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Inner product spaces, Norms, Bessel's inequality, Boas-Bellman and Bombieri inequalities, Bounded linear operators, Numerical radius. |
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Date Received:
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19/03/07 |
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Date Accepted:
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28/04/07 |
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Subject Codes: |
Pri: 47C05, 47C10; Sec: 47A12.
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Editors: |
John Michael Rassias, |
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Abstract: |
The concept of hypo-Euclidean norm for an n-tuple of vectors in inner product spaces is introduced. Its fundamental properties are established. Upper bounds via the Boas-Bellman [1]-[3] and Bombieri [2] type inequalities are provided. Applications for n-tuples of bounded linear operators defined on Hilbert spaces are also given.
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