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Schatten Norm: Mathematics, Functional Analysis, Trace Class, Norm, Hilbert-Schmidt Operator -

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2026-03-15
128,12 € 213,53 €

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, specifically functional analysis, the Schatten norm arises as a generalization of p-integrability similar to the trace class norm and the Hilbert-Schmidt norm. The norm is defined as |T| _{S_p} := bigg( sum _{xin sigma (T^*T)} x^{p/2}bigg)^{1/p} for pin [1,infty) an ... Täielik kirjeldus

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, specifically functional analysis, the Schatten norm arises as a generalization of p-integrability similar to the trace class norm and the Hilbert-Schmidt norm. The norm is defined as |T| _{S_p} := bigg( sum _{xin sigma (T^*T)} x^{p/2}bigg)^{1/p} for pin [1,infty) and an operator T on the Hilbert space X. Here ¿(T * T) denotes the spectrum of the positive operator T*T. This should be interpreted as a multiset. An operator which has a finite Schatten norm is called a Schatten class operator and the space of such operators is denoted by Sp(X). With this norm, Sp(X) is a Banach space, and a Hilbert space for p=2.

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Kirjastaja OmniScriptum
Väljalaskeaasta 2026
Kaanetüüp Pehme kaanega
EAN 9786131158001
Kirjuta oma arvustus
Te vaatate: Schatten Norm: Mathematics, Functional Analysis, Trace Class, Norm, Hilbert-Schmidt Operator
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128,12 € 213,53 €