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Results tagged with hilbert-spaces
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user 165275
A Hilbert space $H$ is a real or complex vector space endowed with an inner product such that $H$ is a complete metric space when endowed with the norm induced by this inner product.
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Perturbation of matrices
It should not be hard to prove - e.g. by some minmax-characterization - that $\lambda_1$ is measurable. (As already remarked in the comments by Christian Remling, $\lambda_1$ is actually continuous, b …
- 1,869
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Essential spectrum of multiplication operator
In Biberdorf, E. A. and Väth, M., On the spectrum of orthomorphisms and Barbashin operators, Z. Anal. Anwendungen 18, 1999(4), 12-31 it is shown that even in the more general case of an orthomorphism, …
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