臺灣博碩士論文加值系統

探討無窮維矩陣的範長,以及探討使矩陣達到它的範長的那些點的行為.

Characterization of the matrix whose norm is determined by its action on decreasing sequences.
We also calculate some matrices norm.

1.p=1 or p=infinte
2.q=1 or q=infinte
3.1 < p,q < infinte

1.G.Bennett,Inequalities Complimentary to Hardy.
Quart.J.Math.Oxford(2),49(1998),395-432.
2.G.Bennett,Factorizing the Classical Inequalities,
Memoirs Amer.Math.Soc.576(1996),1-130.
3.Chang-Pao Chen,Dah-Chin Lour,and Zong-Yin Ou.Extensions of
Hardy Inequality,J.Math.Anal.Appl.(to appear).
4.G.H.Hardy,J.E.Littlewood and G.polya,Inequality,2nd edition,
Cambridge University Press,Cambridge 1967.