温顺
发表于 2025-3-26 23:30:36
The Instability of Political Institutionsus functionals; supporting functionals; the annihilator of a subspace; complete systems of elements of a normed space; the Hahn–Banach separation theorem for convex sets; the connection between properties of an operator and those of its adjoint; and the duality between subspaces and quotient spaces.
蜈蚣
发表于 2025-3-27 05:04:34
The Instability of Political Institutionsl these results belong to the circle of classical “fundamental principles of functional analysis” and have multiple applications. Some of such applications are given in this chapter, in particular applications to complementability of subspaces, to boundedness of partial sums operators with respect t
concentrate
发表于 2025-3-27 06:54:45
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魅力
发表于 2025-3-27 09:37:16
https://doi.org/10.1007/978-94-009-8902-3geometric intuition to its fullest potential: measuring angles between vectors, applying Pythagoras’ theorem, and using orthogonal projections. Here we do not run into anomalous phenomena such as non-complemented subspaces or, say, linear functionals that do not attain their upper bound on the unit
AVOW
发表于 2025-3-27 17:15:10
https://doi.org/10.1007/978-94-009-8902-3 operators. In this chapter we build this apparatus starting with polynomials in an operator, then extending the definition to continuous functions and finally to bounded Borel-measurable function of a self-adjoint operator. After giving a brief introduction into integration with respect to a vector
browbeat
发表于 2025-3-27 20:39:59
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Crayon
发表于 2025-3-28 01:22:29
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enormous
发表于 2025-3-28 03:02:30
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异端邪说下
发表于 2025-3-28 06:57:15
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抛物线
发表于 2025-3-28 12:02:48
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