coltish
发表于 2025-3-25 05:30:59
,Glaubwürdigkeit: ein Forschungsüberblick,One of the most powerful tools in the theory of normal operators is the following Fuglede theorem.
Mindfulness
发表于 2025-3-25 09:20:08
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玉米棒子
发表于 2025-3-25 15:20:45
Norbert Konegen,Klaus SondergeldClearly, . and . have the same eigenvalues which, in this setting, means that . and . have equal spectra. To see why . and . are not unitarily equivalent, remember that two unitarily equivalent operators are simultaneously (e.g.) self-adjoint. Since . is self-adjoint and . is not, it follows that they cannot be unitarily equivalent.
Coronary-Spasm
发表于 2025-3-25 17:36:33
Norbert Konegen,Klaus SondergeldConsider the operator equation: . where ., ., . ∈ .(.) are given and . ∈ .(.) is the unknown. This equation is more commonly known as the Sylvester equation.
痛得哭了
发表于 2025-3-25 20:44:12
Norbert Konegen,Klaus SondergeldShow that the mapping .↦.. defined from .(.) into .(.) is not weakly continuous, that is, find a sequence (..) in .(.) that converges weakly to . ∈ .(.) yet . does not converge weakly to ...
admission
发表于 2025-3-26 01:23:36
Some Basic PropertiesThroughout this chapter, . and . denote two Hilbert spaces over . unless otherwise stated.
王得到
发表于 2025-3-26 08:16:15
Basic Classes of Bounded Linear OperatorsLet . be a Hilbert space, and let . ∈ .(.). Let . be the identity operator on ..
革新
发表于 2025-3-26 11:28:53
Operator TopologiesLet . be a Hilbert space, and let (..) be a sequence in .(.).
腐烂
发表于 2025-3-26 13:53:21
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LATHE
发表于 2025-3-26 19:10:59
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