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Titlebook: A Primer on Hilbert Space Operators; Piotr So?tan Textbook 2018 Springer Nature Switzerland AG 2018 hilbert space.bounded operator.unbound

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31#
發(fā)表于 2025-3-26 23:56:46 | 只看該作者
https://doi.org/10.1007/978-3-319-92061-0hilbert space; bounded operator; unbounded operator; C*-algebra; functional calculus; z-transform
32#
發(fā)表于 2025-3-27 04:03:58 | 只看該作者
33#
發(fā)表于 2025-3-27 08:43:20 | 只看該作者
Hans-Jürgen Stan,Manfred Linkerh?gnerd the identity operator . is the unit (neutral element of multiplication) of this algebra. The operation of passing to the adjoint operator . is an anti-linear, anti-multiplicative . (for any . we have ..?=?.). Moreover, the operator norm is compatible with algebra structure in the sense that . In p
34#
發(fā)表于 2025-3-27 09:55:36 | 只看該作者
35#
發(fā)表于 2025-3-27 15:41:12 | 只看該作者
36#
發(fā)表于 2025-3-27 21:19:05 | 只看該作者
37#
發(fā)表于 2025-3-27 23:55:11 | 只看該作者
https://doi.org/10.1007/978-0-387-35100-1e to introduce in Sect. 7.4 functional calculus for normal operators. This will be the only part of the book in which we will require some results of the theory of Banach algebras, or more specifically, C.-algebras. These have been gathered in ..
38#
發(fā)表于 2025-3-28 02:20:04 | 只看該作者
39#
發(fā)表于 2025-3-28 07:15:39 | 只看該作者
Analysis of Macroevolution with Phylogenies,roduced in a context much wider than the theory of operators on Hilbert spaces by S.L. Woronowicz (see [., .]). As we already mentioned a couple of times, the .-transform is a way to encode full information about a given closed densely defined operator . in a bounded operator ... The procedure of pa
40#
發(fā)表于 2025-3-28 10:34:32 | 只看該作者
Analysis of Macroevolution with Phylogenies,culus which can be defined exclusively using the .-transform. Next we will move on to Borel functional calculus and finally assign to each self-adjoint operator its spectral measure and discuss functional calculus for unbounded functions.
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