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

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n-Generator Property of a Polynomial Ring 多项式环的n-生成子性质
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1984-05-31 DOI: 10.5036/BFSIU1968.16.17
Ryuki Matsuda
{"title":"n-Generator Property of a Polynomial Ring","authors":"Ryuki Matsuda","doi":"10.5036/BFSIU1968.16.17","DOIUrl":"https://doi.org/10.5036/BFSIU1968.16.17","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124193708","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
On good ?-inequalities 好的?-不平等
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1984-05-31 DOI: 10.5036/BFSIU1968.16.1
Akihiko Miyachi, K. Yabuta
{"title":"On good ?-inequalities","authors":"Akihiko Miyachi, K. Yabuta","doi":"10.5036/BFSIU1968.16.1","DOIUrl":"https://doi.org/10.5036/BFSIU1968.16.1","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":"1984-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122854329","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
Oscillation of Operator Differential Equations in Hilbert Space Hilbert空间中算子微分方程的振动
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1984-05-31 DOI: 10.5036/BFSIU1968.16.49
H. Onose
{"title":"Oscillation of Operator Differential Equations in Hilbert Space","authors":"H. Onose","doi":"10.5036/BFSIU1968.16.49","DOIUrl":"https://doi.org/10.5036/BFSIU1968.16.49","url":null,"abstract":"where P: R+→L(H,H) is continuous and self-adjoint for each t∈R+=[0,∞). By a solution of (I), we mean any function X: R+→L(H,H) which satisfies (I) on R+. Here X\" denotes the second strong derivative of X. Any solution X(t) of (I) satisfies X*(t)X'(t)=X*'(t)X(t), t∈R+ is called to be prepared. A prepared solution of (I) is nonoscillatory if there exists t0≧0 such that, for every t≧t0 X(t) is an isomorphism, i.e., X(t) is one-to-one and onto. Otherwise X(t) is said to be oscillatory. Equation (I) is oscillatory if every prepared solution of (I) is oscillatory. A bounded linear functional f: L(H,H)→R is said to be positive if f(T)≧0 for every positive operator T∈L(H,H), i.e., any T with <Tx,x>≧0 for all x∈H, and f(A*B)=f(B*A) for every A, B∈L(H,H). Here <,> denotes the inner product of H. Every positive linear functional f satisfies ‖f‖=f(I) and if f is not the zero functional, it satisfies","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131953129","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
Φ: Pic (R0)→HPic (R) is not necessarily surjective Φ: Pic (R0)→HPic (R)不一定是满射
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1984-05-31 DOI: 10.5036/BFSIU1968.16.13
Ryuki Matsuda
{"title":"Φ: Pic (R0)→HPic (R) is not necessarily surjective","authors":"Ryuki Matsuda","doi":"10.5036/BFSIU1968.16.13","DOIUrl":"https://doi.org/10.5036/BFSIU1968.16.13","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125688819","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
ON SOLUTION OF 的解
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1983-05-31 DOI: 10.5036/BFSIU1968.15.29
K. Takano
{"title":"ON SOLUTION OF","authors":"K. Takano","doi":"10.5036/BFSIU1968.15.29","DOIUrl":"https://doi.org/10.5036/BFSIU1968.15.29","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"122 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1983-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128255462","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 Probability Density Functions and the Oscillations 论概率密度函数及其振荡
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1983-05-31 DOI: 10.5036/BFSIU1968.15.25
H. Onose
{"title":"On the Probability Density Functions and the Oscillations","authors":"H. Onose","doi":"10.5036/BFSIU1968.15.25","DOIUrl":"https://doi.org/10.5036/BFSIU1968.15.25","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1983-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132978839","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
Notes on Noetherian Semigroup Rings 关于Noetherian半群环的注释
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1983-05-31 DOI: 10.5036/BFSIU1968.15.9
Ryuki Matsuda
{"title":"Notes on Noetherian Semigroup Rings","authors":"Ryuki Matsuda","doi":"10.5036/BFSIU1968.15.9","DOIUrl":"https://doi.org/10.5036/BFSIU1968.15.9","url":null,"abstract":"Let A be a commutative ring with identity and let S be a torsion-free canoellative commutative semigroup with identity. We write the semigroup operation on S as addition and assume that S_??_{0}. We consider the semigroup ring A[X; S] of S over A. In [12] we determined conditions under which A[X; S] is a Noetherian ring. We concern with A[X; S] further as a Noetherian ring in this paper. Throughout this paper A denotes a commutative ring with identity. S denotes the above mentioned semigroup. The smallest group containing S is called quotient group of S and is denoted by q(S). G denotes the quotient group of S.","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1983-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121703609","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: 6
Remarks on Theorems of Muntz-Szasz Type 关于Muntz-Szasz型定理的注解
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1983-05-31 DOI: 10.5036/BFSIU1968.15.19
Morisuke Hasumi
{"title":"Remarks on Theorems of Muntz-Szasz Type","authors":"Morisuke Hasumi","doi":"10.5036/BFSIU1968.15.19","DOIUrl":"https://doi.org/10.5036/BFSIU1968.15.19","url":null,"abstract":"function on the interval [0, 1] with φ(0)=0 and let {n(k):k=1,2,...} be a strictly increasing sequence of positive real numbers tending to infinity. Then we have the following: (a) Let C0[0, 1] be the space of (real-or complex-valued) continuous functions on [0, 1] vanishing at 0, equipped with the usual uniform norm. Then, the system {φn(k):k=1,2,...} is fundamental in C0[0, 1] if and only if Σ ∞k=1η(k)-1=","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1983-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127682391","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
Continuity of the mean values of BMO functions and Calderon-Zygmund properties of certain singular integrals BMO函数均值的连续性及某些奇异积分的Calderon-Zygmund性质
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1983-05-31 DOI: 10.5036/BFSIU1968.15.1
K. Yabuta
{"title":"Continuity of the mean values of BMO functions and Calderon-Zygmund properties of certain singular integrals","authors":"K. Yabuta","doi":"10.5036/BFSIU1968.15.1","DOIUrl":"https://doi.org/10.5036/BFSIU1968.15.1","url":null,"abstract":"In this note we shall show that certain bilinear singular integrals T(a,f) with symmetric property in some sense are bounded bilinear operators from BMO× Lp into Lp, more precisely, for any BMO function a the operator T(a,・) is a Calderon-Zygmund singular integral operator (Theorems 1 and 2). These results are, in a sense, extensions of the relating results in Baishansky and Coifman [1]. To prove the above, the Holder continuity of the mean values of BMO functions","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1983-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125925352","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: 3
Quasi-Centrality of Banach Algebras and Approximate Identity Banach代数的拟中心性与近似恒等式
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1983-05-31 DOI: 10.5036/BFSIU1968.15.17
Sin-Ei Takahasi
{"title":"Quasi-Centrality of Banach Algebras and Approximate Identity","authors":"Sin-Ei Takahasi","doi":"10.5036/BFSIU1968.15.17","DOIUrl":"https://doi.org/10.5036/BFSIU1968.15.17","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1983-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122679325","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: 3
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