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EVERY WEAKLY SEQUENTIALLY HYPERCYCLIC SHIFT IS NORM HYPERCYCLIC 每一个弱序超循环位移都是范数超循环
Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.3318/PRIA.2005.105.2.79
J. Bès, Kit C. Chan, Rebecca Sanders
{"title":"EVERY WEAKLY SEQUENTIALLY HYPERCYCLIC SHIFT IS NORM HYPERCYCLIC","authors":"J. Bès, Kit C. Chan, Rebecca Sanders","doi":"10.3318/PRIA.2005.105.2.79","DOIUrl":"https://doi.org/10.3318/PRIA.2005.105.2.79","url":null,"abstract":"Such a vector x is called a weakly sequentially hypercyclic vector for T. If there is an orbit orb(T, x) that is dense in X in the weak (respectively, norm) topology of X. we say that T is weakly hypercyclic (respectively, norm hypercyclic), and that x is a weakly (respectively, norm) hypercyclic vector for T. Clearly if T is norm hypercyclic, then T is weakly sequentially hypercyclic, which in turn implies T is weakly hypercyclic. Similarly, an operator T on a Banach space X is (a) norm supercyclic (b) weakly supercyclic (c) weakly sequentially supercyclic, provided there exists a vector x so that Orb(span(x),T) = {XTkx : X e C, k > 0} is (a) norm dense, (b) weakly dense, (c) weakly sequentially dense in X, respectively. It is not known whether an operator can be weakly sequentially hypercyclic","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128746151","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
The imp's staircase step response for an arbitrarily underdamped second order system with setpoint filter 带设定值滤波器的任意欠阻尼二阶系统的阶跃响应
Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.1353/mpr.2020.0001
A. D. de Paor
{"title":"The imp's staircase step response for an arbitrarily underdamped\u0000 second order system with setpoint filter","authors":"A. D. de Paor","doi":"10.1353/mpr.2020.0001","DOIUrl":"https://doi.org/10.1353/mpr.2020.0001","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128601892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
IRREDUCIBLE REPRESENTATIONS OF HILBERT C-MODULES Hilbert c模的不可约表示
Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.1353/mpr.2005.0008
Ljiljana Arambašić
{"title":"IRREDUCIBLE REPRESENTATIONS OF HILBERT C-MODULES","authors":"Ljiljana Arambašić","doi":"10.1353/mpr.2005.0008","DOIUrl":"https://doi.org/10.1353/mpr.2005.0008","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131078022","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
From trivial spectrum subspaces to spaces of diagonalisable real matrices 从平凡谱子空间到可对角实矩阵空间
Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.1353/mpr.2018.0001
Clément de Seguins Pazzis
{"title":"From trivial spectrum subspaces to spaces of diagonalisable real matrices","authors":"Clément de Seguins Pazzis","doi":"10.1353/mpr.2018.0001","DOIUrl":"https://doi.org/10.1353/mpr.2018.0001","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126863407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On α-simply presented abelian p-groups 关于α-简表示的阿贝尔p群
Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.1353/mpr.2014.0003
P. Danchev
{"title":"On α-simply presented abelian p-groups","authors":"P. Danchev","doi":"10.1353/mpr.2014.0003","DOIUrl":"https://doi.org/10.1353/mpr.2014.0003","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"126 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123069244","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weak versions of Banach spaces of vector-valued functions 向量值函数的Banach空间的弱版本
Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.3318/PRIA.2014.114.12
F. J. Bertoloto
{"title":"Weak versions of Banach spaces of vector-valued functions","authors":"F. J. Bertoloto","doi":"10.3318/PRIA.2014.114.12","DOIUrl":"https://doi.org/10.3318/PRIA.2014.114.12","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122283651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Combined Dissociative and Kick-out Diffusion Model with Charge Effects, Part I: In-Diffusion 带电荷效应的离解和外踢扩散模型，第一部分:内扩散
Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.3318/PRIA.2002.102.1.49
J. King, M. Meere
{"title":"A Combined Dissociative and Kick-out Diffusion Model with Charge Effects, Part I: In-Diffusion","authors":"J. King, M. Meere","doi":"10.3318/PRIA.2002.102.1.49","DOIUrl":"https://doi.org/10.3318/PRIA.2002.102.1.49","url":null,"abstract":"In this paper we propose a new model for impurity diffusion in compound semiconductors. The model incorporates both the kick-out and the dissociative mechanism, as well as charge effects; the resulting system includes as limit cases many models that have previously appeared in the literature. An initial–boundary value problem that models surface source in-diffusion conditions is then considered. The model is studied using a combination of asymptotic and numerical techniques. In particular, the transition from dissociative to kick-out behaviour is analysed, with some noteworthy features of the solutions being highlighted in a number of regimes, including a novel class of moving boundary problems.","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121483739","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Cauchy Integral and Pluriharmonic Conjugate Functions on Banach Function Spaces Banach函数空间上的Cauchy积分与多调和共轭函数
Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.1353/mpr.2023.0001
K. Ho
{"title":"Cauchy Integral and Pluriharmonic Conjugate Functions on Banach Function Spaces","authors":"K. Ho","doi":"10.1353/mpr.2023.0001","DOIUrl":"https://doi.org/10.1353/mpr.2023.0001","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122390102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Compact Semigroups of Positive Matrices 正矩阵的紧半群
Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.3318/PRIA.2003.103.2.143
T. T. West
{"title":"Compact Semigroups of Positive Matrices","authors":"T. T. West","doi":"10.3318/PRIA.2003.103.2.143","DOIUrl":"https://doi.org/10.3318/PRIA.2003.103.2.143","url":null,"abstract":"The spectral theory of compact monothetic semigroups of linear operators examined by Kaashoek and West in [1], [2] together with two block matrix theorems where the blocks are either strictly positive or zero are used to give an exposition of Perron-Frobenius theory of positive matrices. The approach in this paper is based on ideas of Smyth and West developed in [4], [5]. We consider a linear operator T in finite dimensions which has a matrix representation [T] relative to a given basis. Where there is no ambiguity we often write the matrix as T. T ≥ 0 if [T] ij ≥ 0 (∀ i,j) while T > 0 if [T] ij > 0 (∀ i,j). The spectrum and spectral radius of T will be denoted by σ(T) and r(T) respectively. The trace of T (the sum of its eigenvalues) will be written as tr(T), and the peripheral spectrum will be denoted by π(T) = {λ ∈ σ(T); |λ| = r(T)}. The i th row and j th column of T relative to the given basis will be written row i (T) and col j (T) and the diagonal of T will be denoted diag(T). The spectral projection of T relative to π(T) will be written P π. Smyth [5] has introduced a hierarchy of subsets of matrices T ≥ 0. Definitions. (i) T is positive if T > 0; (ii) T is primitive if T k > 0 for some positive integer k; (iii) T is connected if ∀ i,j ∃ a positive integer k such that [T k ] ij > 0; (iv) T is potent if diag(T k) > 0 for some positive integer k; (v) T is zero-free if no row or column is zero; (vi) T has positive spectral radius.","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132562976","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
ON SOME FINITE DEFORMATIONS OF INHOMOGENEOUS COMPRESSIBLE ELASTIC SOLIDS 非均匀可压缩弹性固体的有限变形
Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.3318/PRIA.2007.107.1.43
U. Saravanan, K. Rajagopal
{"title":"ON SOME FINITE DEFORMATIONS OF INHOMOGENEOUS COMPRESSIBLE ELASTIC SOLIDS","authors":"U. Saravanan, K. Rajagopal","doi":"10.3318/PRIA.2007.107.1.43","DOIUrl":"https://doi.org/10.3318/PRIA.2007.107.1.43","url":null,"abstract":"We study several simple boundary value problems for a special class of inhomogeneous, isotropie, compressible elastic solids: inflation of a spherical shell; bending, stretching and shearing of a rectangular block; and straightening, stretching and shearing of a sector of a hollow cylinder. The purpose of the study is twofold: to establish new exact solutions to boundary value problems concerning inhomogeneous, isotropie, compressible elastic solids that have technological relevance (to the deformation of layered composites); and to reaffirm a thesis concerning an inherent difficulty with regard to the homogenization techniques that are in vogue that appeal to the stored energy in the homogenized body being the same as that for the inhomogeneous body. In addition to establishing new exact solutions for a class of inhomogeneous elastic solids, the study reinforces the thesis of Saravanan and Rajagopal that great care ought to be exercised in approximating even a very mildly inhomogeneous body by an equivalent homogeneous body when large deformations are involved.","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133280656","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
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