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Titlebook: Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology; Ronald G. Douglas Me Raul E Curto,William Helton,Guol

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11#
發(fā)表于 2025-3-23 10:57:17 | 只看該作者
Functional Models for Commuting Hilbert-Space Contractions,traction. We identify additional invariants . in addition to the Sz.-Nagy–Foias characteristic function Θ. for the product operator . so that the combined triple . becomes a complete unitary invariant for the original operator tuple .. For the case .?≥?3 in general there is no commutative isometric
12#
發(fā)表于 2025-3-23 14:42:30 | 只看該作者
The Extended Aluthge Transform,ator such that .?.?=?., we define the . Aluthge transform of . associated with . by .. First, we establish some basic properties of Δ.; second, we study the fixed points of the extended Aluthge transform; third, we consider the case when . is an idempotent; next, we discuss whether Δ. leaves invaria
13#
發(fā)表于 2025-3-23 18:20:31 | 只看該作者
14#
發(fā)表于 2025-3-24 00:39:15 | 只看該作者
Isomorphism in Wavelets II,ssociated with a .?×?., .?≤?., expansive dyadic integral matrix .. On the other hand, a scaling function .. associated with a .?×?. expansive dyadic integral matrix . and a finite two scaling relation can be isomorphically embedded into the family of scaling functions associated with expansive dyadi
15#
發(fā)表于 2025-3-24 06:08:25 | 只看該作者
16#
發(fā)表于 2025-3-24 08:47:58 | 只看該作者
17#
發(fā)表于 2025-3-24 13:14:13 | 只看該作者
Invariance of the Essential Spectra of Operator Pencils,fficients of two pencils are derived which guarantee the same essential spectrum. This is done by exploiting a strong relation between an operator pencil and a specific linear subspace (linear relation).
18#
發(fā)表于 2025-3-24 16:36:56 | 只看該作者
19#
發(fā)表于 2025-3-24 19:06:03 | 只看該作者
,A Survey on Classification of C?-Algebras with the Ideal Property,s have the ideal property. We will review some results on classification of C.-algebras including real rank zero C.-algebras and unital, simple C.-algebras. Then we will present some invariants and discuss the relations between them. Our goal is to try to give a picture of current research about cla
20#
發(fā)表于 2025-3-25 02:47:57 | 只看該作者
A Survey on the Arveson-Douglas Conjecture,omial rings. It originated from multi-variable operator theory but turns out to have various connections outside this field. In this survey, we will introduce the conjecture, describe its backgrounds, applications, and recent developments. Several related questions are also included in this survey.
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