Subnormal operators whose adjoints have rich point spectrum
نویسندگان
چکیده
منابع مشابه
On subnormal operators whose spectrum are multiply connected domains
Let Ω be a connected bounded domain with a finite amount of “holes” and “nice boundary”. We study subnormal operators with spectrum equal to Ω, while the spectrum of their normal extensions are supported on the boundary, ∂Ω.
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Let V and W be real or complex finite dimensional vector spaces with inner products 〈·, ·〉V and 〈·, ·〉W , respectively. Let L : V → W be linear. If there is a transformation L∗ : W → V for which 〈Lv,w〉W = 〈v, Lw〉V (1) holds for every pair of vectors v ∈ V and w in W , then L∗ is said to be the adjoint of L. Some of the properties of L∗ are listed below. Proposition 1.1. Let L : V →W be linear. ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2008
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2008.07.013