GLEAN 发表于 2025-3-25 07:19:08
Ultraproducts of C*-algebras,alog for C*-ultrapowers of separable C*-algebras is equivalent to the continuum hypothesis. We also prove a finite local reflexivity theorem for operator spaces that implies that the second dual of a C*-algebra can be embedded in some ultra-power of the algebra using a completely positive completely isometric map.OVER 发表于 2025-3-25 09:24:55
,Scalar perturbations of the Sz.-Nagy—Foias characteristic function,ive representations of the Möbius group. These formulae lead to an explicit description of the Sz.-Nagy—Foias models of these weighted shifts. Combining our main results with an analytic continuation argument, we find a three-parameter family of homogeneous operators.落叶剂 发表于 2025-3-25 13:05:40
On the class of extremal extensions of a nonnegative operator,construction of all extremal extensions of a nonnegative densely defined operator will be presented.It employs a fixed auxiliary Hilbert space to factorize each extremal extension.Various functional-analytic interpretations of extremal extensions are studied and some new types of characterizations aobscurity 发表于 2025-3-25 18:24:01
http://reply.papertrans.cn/83/8230/822921/822921_24.png食草 发表于 2025-3-25 20:54:08
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http://reply.papertrans.cn/83/8230/822921/822921_26.pngOGLE 发表于 2025-3-26 08:05:30
Analytic extension of vector valued functions,he analyticity of the compositions of . with all functionals belonging to a closed linear subspace.F of the dual of ., which determines the norm of .. Thus, roughly speaking, scalar analyticity implies vector valued analyticity.压碎 发表于 2025-3-26 09:54:15
On the structure of spherical contractions,ly if it possesses an analytic invariant subspace, or if and only if, there is a compression of . to a semi-invariant subspace which is of type . and possesses dominating Harte spectrum in the unit ball. If any of these conditions holds, then . is proved to be reflexive. As a byproduct we obtain tha健壮 发表于 2025-3-26 13:55:11
,Wielandt type extensions of the Heinz—Kato—Furuta inequality,onal pair . and y. In this paper, we show Wielandt type extensions of the Heinz-Kato-Furuta inequality, which is based on some generalizations of the Wielandt inequality by Fujii-Katayama-Nakamoto and Bauer-Householder. The obtained inequalities are simultaneous extensions of the Heinz-Kato-Furuta a受辱 发表于 2025-3-26 20:32:06
On the generalized von Neumann inequality,nn inequality for a special class of commuting multi-contractions ...... on . and for any polynomial . of . independent complex variables, such that the coefficients of p are operators on . that doubly commute with each .., .. This is made by means of a construction of a kind of partially doubly com