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Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics最新文献

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On the Submultiplicative classes 在submultiplication类上
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1982-05-31 DOI: 10.5036/BFSIU1968.14.35
K. Oshima, S. Okamoto
{"title":"On the Submultiplicative classes","authors":"K. Oshima, S. Okamoto","doi":"10.5036/BFSIU1968.14.35","DOIUrl":"https://doi.org/10.5036/BFSIU1968.14.35","url":null,"abstract":"In his paper [3], K. Oshima characterized a certain classes of submultiplicative matrix norms. It is intent of this paper to extend his work. The main result will be given in the diagram.","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"1086 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1982-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116033398","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 Remark on the Littlewood Conjecture 利特尔伍德猜想述评
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1982-05-31 DOI: 10.5036/BFSIU1968.14.19
K. Yabuta
{"title":"A Remark on the Littlewood Conjecture","authors":"K. Yabuta","doi":"10.5036/BFSIU1968.14.19","DOIUrl":"https://doi.org/10.5036/BFSIU1968.14.19","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"82 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1982-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127422043","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
Krull Properties of Semigroup Rings 半群环的Krull性质
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1982-05-31 DOI: 10.5036/BFSIU1968.14.1
Ryuki Matsuda
{"title":"Krull Properties of Semigroup Rings","authors":"Ryuki Matsuda","doi":"10.5036/BFSIU1968.14.1","DOIUrl":"https://doi.org/10.5036/BFSIU1968.14.1","url":null,"abstract":"ΣaαXα for aα∈D and α∈G almost all aα are zero. Various algebraic properties have been studied by various authors ([1],[3],[4],[5],[8],[9],[10],[11],[12], [13],[14],[15],[16] etc.). We concern Krull properties of the group ring D[X;G] in this paper. Let K be the quotient field of D and let F={Vλ;λ ∈ Λ} be a set of valuation rings of k. We concern following properties on F: (E1) D=∩{Vλ;λ ∈Λ}; (E2) Each Vλ is rank 1 discrete; (E2)' Each Vλ has rank 1; (E2)\" Each Vλ is a rational number valued valuation ring; (E3) F has finite character-that is, if 0≠x∈K, then x is a nonunit in only finitely many of the valuation rings in F;","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1982-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122236086","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: 8
A Note on Homomorphisms of C*-algebras 关于C*-代数同态的一个注记
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1982-05-31 DOI: 10.5036/BFSIU1968.14.23
Sin-Ei Takahasi
{"title":"A Note on Homomorphisms of C*-algebras","authors":"Sin-Ei Takahasi","doi":"10.5036/BFSIU1968.14.23","DOIUrl":"https://doi.org/10.5036/BFSIU1968.14.23","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1982-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116986650","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
Oscillation Theorems for Non-liner Delay Differential Equations 非线性时滞微分方程的振动定理
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1982-05-31 DOI: 10.5036/BFSIU1968.14.13
R. S. Dahiya
{"title":"Oscillation Theorems for Non-liner Delay Differential Equations","authors":"R. S. Dahiya","doi":"10.5036/BFSIU1968.14.13","DOIUrl":"https://doi.org/10.5036/BFSIU1968.14.13","url":null,"abstract":"First, an oscillation theorem is presented for the n-th order delay differential equation[ (r(t)x'(t))(n-1)+∑k_{i=1}fi(t)Fi(xτ_i(t), x'τ_i(t), ..., x(n-1)τ_i(t))=b(t), r(t)>0.]Then the asymptotic behavior of bounded oscillatory solutions of the above equations is investigated.","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"40 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1982-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126122267","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 Semigroups of the Poisson Transforms and Groups of Boundary Values of the Poisson Transforms on Weighted Lp Spaces 加权Lp空间上泊松变换的半群和泊松变换的边值群
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1982-05-31 DOI: 10.5036/BFSIU1968.14.25
K. Takano
{"title":"On Semigroups of the Poisson Transforms and Groups of Boundary Values of the Poisson Transforms on Weighted Lp Spaces","authors":"K. Takano","doi":"10.5036/BFSIU1968.14.25","DOIUrl":"https://doi.org/10.5036/BFSIU1968.14.25","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1982-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129638296","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 the Asymptotic Behavior of Solutions of Second Order Nonlinear Delay Equations 二阶非线性时滞方程解的渐近性
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1981-05-31 DOI: 10.5036/BFSIU1968.13.1
J. Graef, P. Spikes
{"title":"On the Asymptotic Behavior of Solutions of Second Order Nonlinear Delay Equations","authors":"J. Graef, P. Spikes","doi":"10.5036/BFSIU1968.13.1","DOIUrl":"https://doi.org/10.5036/BFSIU1968.13.1","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1981-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130232248","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
Kronecker Function Rings Kronecker函数环
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1981-05-31 DOI: 10.5036/BFSIU1968.13.13
Ryuki Matsuda
{"title":"Kronecker Function Rings","authors":"Ryuki Matsuda","doi":"10.5036/BFSIU1968.13.13","DOIUrl":"https://doi.org/10.5036/BFSIU1968.13.13","url":null,"abstract":"0. Introduction. Let D be an integral domain, K the quotient field of D, and K(X) the rational function field of one variable X over K. The Kronecker function rings D* which are interesting subrings of K(X) were first defined by Prufer in [25] and further studied by Krull in [16]. After that the notion of Kronecker function rings has been used as a tool to study finite characters (cf. Brewer-Mott [3]), contraction of ideals (cf. Gilmer-Mott [9]) and the stable range (cf. Estes-Ohm [4]). We have also results on D* given by Arnold, Brewer, Gilmer and Mott. For commutative ring A with zerodivisors, Hinkle-Huckaba [12] defined a special Kronecker function ring Ab and generalized a part of the results of Arnold [1]. In this paper we define general Kronecker function rings A* and show that fundamental properties of D* hold for our A*. And then we prove analogies of the results of Arnold, Brewer, Gilmer and Mott to rings with zerodivisors. This paper consists of 5 sections. In 1, we study fundamental properties of the Kronecker function rings for rings with zerodivisors. In 2, we study analogies of the results of Arnold, Gilmer-Mott on the contractions and the extensions of ideals. In 3, we prove an analogy of Theorem 5 of Arnold [1] on almost Dedekind rings. In 4, we prove an analogy of Theorem 6 of Arnold [1] on Dedekind rings. In final 5, we study conditions under which A is a prufer *-multiplication ring. Let R be a commutative ring (not necessarily a domain). We call a nonzerodivisor of a ring a regular element, and we call an ideal containing a regular element","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1981-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122240978","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: 8
One-parameter Semigroups with Infinitesimal Generators of Fractional Powers of the Laplacean on Weighted Lp-spaces 加权lp空间上具有拉普拉斯分数次幂无穷小生成元的单参数半群
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1981-05-31 DOI: 10.5036/BFSIU1968.13.45
K. Takano
{"title":"One-parameter Semigroups with Infinitesimal Generators of Fractional Powers of the Laplacean on Weighted Lp-spaces","authors":"K. Takano","doi":"10.5036/BFSIU1968.13.45","DOIUrl":"https://doi.org/10.5036/BFSIU1968.13.45","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1981-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125024030","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
A Note on Completeness of Real-Valued Functions {φnp: p=1, 2, …} 关于实值函数{φnp: p= 1,2，…}完备性的一个注记
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1981-05-31 DOI: 10.5036/BFSIU1968.13.25
Sin-Ei Takahasi, M. Takeuchi
{"title":"A Note on Completeness of Real-Valued Functions {φnp: p=1, 2, …}","authors":"Sin-Ei Takahasi, M. Takeuchi","doi":"10.5036/BFSIU1968.13.25","DOIUrl":"https://doi.org/10.5036/BFSIU1968.13.25","url":null,"abstract":"imply that f(t)=0, a.e. on [α,β] (cf. [1]). Here μ denotes the Lebesgue measure on R. Throughout the remainder {np:p=1,2,...} will denote a sequence of positive numbers with limp→ ∞np=+∞ and φ will denote a real-valued function on R such that φ(αφ)≧0 and φ is strictly increasing on some interval [αφ,αφ+δ φ], where αφ is a real number and δφ is a positive number. In [3], the first author has showen that if φ is an absolutely continuous function on [αφ,αφ+δ φ] with φ'(t)≠0, a.e. on [αφ,αφ+δ φ], and if Σ ∞p=11/np=+∞, then {φnp:p=1,2,...} is complete on [αφ,αφ+δ φ] (see [3, Theorem 1 part (i)]). The following theorem shows that the above result holds under a strictly weaker condition on φ.","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1981-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125369554","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
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