Abstract
If \(\mathfrak{H}\) is a normed vector space, a linear operator \(T: \mathfrak{H} \rightarrow \mathfrak{H}\) is called bounded if there exists a constant C such that \(|Tx| \leqslant C|x|\) for all \(x \in \mathfrak{H}\). In this case, the smallest such C is called the operator norm of T, and is denoted |T|.
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© 2013 Springer Science+Business Media New York
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Bump, D. (2013). Compact Operators. In: Lie Groups. Graduate Texts in Mathematics, vol 225. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8024-2_3
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DOI: https://doi.org/10.1007/978-1-4614-8024-2_3
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