In this paper, by initiative research on local spectral theory of total class wF（p, r, q） operators, we get some important results. Such as total class wF（p, r,q） operators is normaloid operator, the local spectra...In this paper, by initiative research on local spectral theory of total class wF（p, r, q） operators, we get some important results. Such as total class wF（p, r,q） operators is normaloid operator, the local spectral subspace of total class wF（p, r, q） operators is equal to the space EλH（Eλ the Reisz idempotent, with respect to λ1, of T）, total class wF（p, r, q） operators has finite ascent, and so on.展开更多
An operator T is said to be paranormal if ｜｜T^2 x ｜｜ 〉｜｜Tx｜｜^2 holds for every unit vector x. Several extensions of paranormal operators are considered until now, for example absolute-k-paranormal and p-paran...An operator T is said to be paranormal if ｜｜T^2 x ｜｜ 〉｜｜Tx｜｜^2 holds for every unit vector x. Several extensions of paranormal operators are considered until now, for example absolute-k-paranormal and p-paranormal introduced in [10], [14], respectively. Yamazaki and Yanagida [38] introduced the class of absolute-（p, r）-paranormal operators as a further generalization of the classes of both absolute-k-paranormal and p-paranormal operators. An operator T ∈ B（H） is called absolute-（p, r）-paranormal operator if ｜｜｜T｜p｜T^＊ ｜^rx｜｜^r 〉 ｜｜｜T^＊｜^rx｜｜p＋r for every unit vector x ∈ H and for positive real numbers p 〉 0 and r 〉 0. The famous result of Browder, that self adjoint operators satisfy Browder＇s theorem, is extended to several classes of operators. In this paper we show that for any absolute-（p, r）- paranormal operator T, T satisfies Browder＇s theorem and a-Browder＇s theorem. It is also shown that if E is the Riesz idempotent for a nonzero isolated point μ of the spectrum of a absolute-（p, r）-paranormal operator T, then E is self-adjoint if and only if the null space of T -μ, N（T - μ） N（T^＊ - ^μ）.展开更多
阐述了p-q-r瞬时功率理论的原理,提出一种特殊情况下的简化p-q-r理论,基于这一理论,提出一种统一电能质量调节器(unified power quality conditioner,UPQC)的综合控制策略,此策略综合了通常的直接控制策略和间接控制策略的特点。重点介...阐述了p-q-r瞬时功率理论的原理,提出一种特殊情况下的简化p-q-r理论,基于这一理论,提出一种统一电能质量调节器(unified power quality conditioner,UPQC)的综合控制策略,此策略综合了通常的直接控制策略和间接控制策略的特点。重点介绍了补偿电流及补偿电压的计算方法,详细分析了控制策略的原理,推导出p-q-r坐标下的相关运算公式,给出了在该坐标轴上的详细控制框图。仿真结果显示,将采用这种控制策略的UPQC用于补偿三相四线非线性及不平衡系统,可以实现对负载谐波、无功及中线电流较好的补偿,使负载获得额定端电压,同时提高电源侧功率因数,表明这种控制策略是可行、有效的。展开更多
文摘In this paper, by initiative research on local spectral theory of total class wF（p, r, q） operators, we get some important results. Such as total class wF（p, r,q） operators is normaloid operator, the local spectral subspace of total class wF（p, r, q） operators is equal to the space EλH（Eλ the Reisz idempotent, with respect to λ1, of T）, total class wF（p, r, q） operators has finite ascent, and so on.
基金supported by Taibah University Research Center Project(1433/803)
文摘An operator T is said to be paranormal if ｜｜T^2 x ｜｜ 〉｜｜Tx｜｜^2 holds for every unit vector x. Several extensions of paranormal operators are considered until now, for example absolute-k-paranormal and p-paranormal introduced in [10], [14], respectively. Yamazaki and Yanagida [38] introduced the class of absolute-（p, r）-paranormal operators as a further generalization of the classes of both absolute-k-paranormal and p-paranormal operators. An operator T ∈ B（H） is called absolute-（p, r）-paranormal operator if ｜｜｜T｜p｜T^＊ ｜^rx｜｜^r 〉 ｜｜｜T^＊｜^rx｜｜p＋r for every unit vector x ∈ H and for positive real numbers p 〉 0 and r 〉 0. The famous result of Browder, that self adjoint operators satisfy Browder＇s theorem, is extended to several classes of operators. In this paper we show that for any absolute-（p, r）- paranormal operator T, T satisfies Browder＇s theorem and a-Browder＇s theorem. It is also shown that if E is the Riesz idempotent for a nonzero isolated point μ of the spectrum of a absolute-（p, r）-paranormal operator T, then E is self-adjoint if and only if the null space of T -μ, N（T - μ） N（T^＊ - ^μ）.
文摘阐述了p-q-r瞬时功率理论的原理,提出一种特殊情况下的简化p-q-r理论,基于这一理论,提出一种统一电能质量调节器(unified power quality conditioner,UPQC)的综合控制策略,此策略综合了通常的直接控制策略和间接控制策略的特点。重点介绍了补偿电流及补偿电压的计算方法,详细分析了控制策略的原理,推导出p-q-r坐标下的相关运算公式,给出了在该坐标轴上的详细控制框图。仿真结果显示,将采用这种控制策略的UPQC用于补偿三相四线非线性及不平衡系统,可以实现对负载谐波、无功及中线电流较好的补偿,使负载获得额定端电压,同时提高电源侧功率因数,表明这种控制策略是可行、有效的。
