Mathematical Proceedings of the Royal Irish Academy最新文献_第6页

Convergence of Fourier Integrals of Functions in L2α(Rn) L2α(Rn)中函数傅里叶积分的收敛性

Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.1353/mpr.2022.0003

J. Twomey

引用次数: 0

STRONG APPROXIMATE CONTINUITY PROPERTIES OF CERTAIN CONJUGATE FUNCTIONS 某些共轭函数的强近似连续性

Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.3318/PRIA.2005.105.1.49

J. Twomey

引用次数: 2

GROUPS WITH FINITELY MANY NORMALIZERS OF NON-NILPOTENT SUBGROUPS 非幂零子群的有限多个正则化器群

Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.1353/mpr.2007.0013

F. De Mari, F. de Giovanni

引用次数: 1

ORTHOGONALLY ADDITIVE POLYNOMIALS ON DEDEKIND σ-COMPLETE VECTOR LATTICES dedekind σ-完备向量格上的正交加性多项式

Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.3318/PRIA.2010.110.1.83

M. Toumi

{"title":"ORTHOGONALLY ADDITIVE POLYNOMIALS ON DEDEKIND σ-COMPLETE VECTOR LATTICES","authors":"M. Toumi","doi":"10.3318/PRIA.2010.110.1.83","DOIUrl":"https://doi.org/10.3318/PRIA.2010.110.1.83","url":null,"abstract":"The only topology on vector lattices under consideration is the relatively uniform topology. Let A be vector lattice and let B be a topological space. A map P : A ?> B is called a homogeneous polynomial of degree n (or a n-homogeneous polynomial) if P (x) = $ (x,x), where ^ is a n-multilinear map from An = A x ... x A (n-times) into B. Throughout the paper, 'operator' (linear, multilinear or polynomial) will mean 'continuous operator'. A homogeneous polynomial (of degree n) P : A ?> B is said to be orthogonally additive if P(x + y) ? P(x) -f P(y) whenever x, y G A are orthogonally (i.e. x A y = 0). We denote by P0 (nA, B) the set of n-homogeneous orthogonally additive polynomials from A to B. Interest in orthogonally additive polynomials on Banach lattices originates in the work of K. Sundaresan [15], in which it has been characterised as the space of n-homogeneous orthogonally additive polynomials on Lp and ?p. More precisely, K. Sundaresan proved that every n-homogeneous orthogonally additive polynomial P : Lp -? R is determined by some g G L~ via the formula P (f) ? f fng d/i, for all / G Lp. Very recently, D. Perez-Garcia and I. Villanueva in [13], D. Carando, S. Lassalle and I. Zalduendo in [9] proved the following analogous result for C (X) spaces: Let Y be a Banach space, let P : C (X) ?> Y be an orthogonally additive","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"3 6 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":"128781675","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: 10

On decompositions of ternary rings of operators and their morphisms 算子三元环的分解及其态射

Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.3318/pria.2019.119.11

Bunce, Timoney

引用次数: 1

PATH CONNECTED COMPONENTS IN THE SPACE OF WEIGHTED COMPOSITION OPERATORS ON THE DISK ALGEBRA 磁盘代数上加权复合算子空间中的路径连通分量

Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.3318/PRIA.2011.112.07

K. Izuchi, Y. Izuchi, S. Ohno

{"title":"PATH CONNECTED COMPONENTS IN THE SPACE OF WEIGHTED COMPOSITION OPERATORS ON THE DISK ALGEBRA","authors":"K. Izuchi, Y. Izuchi, S. Ohno","doi":"10.3318/PRIA.2011.112.07","DOIUrl":"https://doi.org/10.3318/PRIA.2011.112.07","url":null,"abstract":"Let H2 be the Hardy space and H°° the Banach space of bounded analytic functions on the open unit disk ID with the supremum norm || • Hoc. For / £ H°°, we denote by /* the radial limit of / defined a.e. on the boundary 3D of P. We write {|/*| = 1} = {el° £ 3D : f*(ete) — 1}. Let m be the normalized Lebesgue measure on 3D. We denote by 5#* the set of analytic self-maps of D and Sh^.o — G Sh=c : Hvlloo = !}• For p £ Shthe composition operator C^ on H2 is defined by C^f = f o tp for / £ H2. Let C(H2) be the space of composition operators on H2 with the operator norm. The most interesting subject in the study of C(H2) is called the connected component problem, describing the connected component containing a given Cv. It was first studied by Berkson [2]. He showed that if p € 0, then is an isolated point in C(H2). Around 1990, MacCluer [13] and Shapiro and Sundberg [19] revisited the connected component problem on H2. Succeedingly, Bourdon [3], Gallardo-Gutierrez, Gonzalez, Nieminen and Saksman [6] and Moorhouse and Toews [16] followed. Still it remains unclear the connected component problem on H2 (see [4; 17; 18]). Similarly we have the space C(H°°) of composition operators on H°° with the","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"54 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":"130511824","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 CONTRACTING HOMOTOPY FOR BARDZELL'S RESOLUTION bardzell分解的一个收缩同伦

Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.3318/PRIA.2008.108.2.111

Emil Sköldberg

引用次数: 14

THE COMMUTATOR SUBGROUP AND CLT(NCLT) GROUPS 换向子群和clt (nclt)群

Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.3318/PRIA.2004.104.1.119

F. Barry

引用次数: 9

POLAROID OPERATORS AND GENERALIZED BROWDER-WEYL THEOREMS 宝丽来算子和广义browder-weyl定理

Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.3318/PRIA.2008.108.2.149

B. Duggal

引用次数: 13

ON THE EFFICIENCY OF A DUAL TO RATIO-CUM-PRODUCT ESTIMATOR IN SAMPLE SURVEYS 样本调查中对偶对比积估计器的效率

Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI: 10.3318/PRIA.2005.105.2.51

H. P. Singh, Rajesh Singh, M. R. Espejo, M. D. Pineda, S. Nadarajah

引用次数: 16