ISSN:0024-6107    

DOI:10.1112/jlms/50.1.1

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/50.1.17

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/50.1.25

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/50.1.43

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/50.1.49

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

Given a regular graph Γ0of girth at least six, we show that a connected graph may be constructed in which the induced graph on the neighbours of any vertex is isomorphic to Γ0. The class of graphs arising through a generalisation of the construction is discussed and characterised in terms of simplicial complexes.

ISSN:0024-6107    

DOI:10.1112/jlms/50.1.68

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/50.1.87

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

Necessary and sufficient conditions for the boundedness fromLυp(R+)toLup(R+)of Volterra integral operators of the formKf(x)=∫0xk(x,y)f(y)dy,wherek(x,y) is a non‐negative kernel under suitable monotone conditions, are given. The cases 1

ISSN:0024-6107    

DOI:10.1112/jlms/50.1.105

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

We prove for entire functions of exponential type an inequality which is analogous to a classical inequality of J. Marcinkiewicz. Our inequality can just as well be seen as an extension of a result of M. Plancherel and G. Pólya. In passing, we obtain a generalized version of the famous Whittaker‐Shannon Sampling Theorem.

ISSN:0024-6107    

DOI:10.1112/jlms/50.1.121

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

Quasi‐differential expressionsMwith coefficients having values in the space of bounded linear operators of a Banach spaceEinto itself are considered. A result on factorizations of the formM=QPobtained by A. Zettl for scalar differential expressions is generalized to the case of operator‐valued coefficients, with a completely different proof, which also gives the coefficients ofPandQexplicitly. For reflexiveEan extension of a result on factorizations of the formM=RQPproved by P. J. Browne and R. Nillsen for scalar classical expressions is obtained. Finally in case ofEbeing a Hilbert space, a factorization result for symmetric expressions is given, which is attributed to G. Frobenius for scalar classical expressions.

ISSN:0024-6107    

DOI:10.1112/jlms/50.1.139

出版商:Oxford University Press    

年代:2016

数据来源: WILEY