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Geometry of the Marcinkiewicz Sequence Space
The Journal of Geometric Analysis ( IF 1.1 ) Pub Date : 2020-07-25 , DOI: 10.1007/s12220-020-00480-5 Christopher Boyd , Silvia Lassalle
中文翻译:
Marcinkiewicz序列空间的几何
更新日期:2020-07-25
The Journal of Geometric Analysis ( IF 1.1 ) Pub Date : 2020-07-25 , DOI: 10.1007/s12220-020-00480-5 Christopher Boyd , Silvia Lassalle
We characterise the real extreme points of the unit ball of \(m^0_\Psi \), the complex extreme points of the unit ball of \(m_\Psi \) and the real extreme and exposed points of the unit ball of \((m_\Psi ^0)'\). Using these characterisations we show that, depending on the length of the extreme points, the multipliers of \(m^0_\Psi \) are either constant multiple of the identity or diagonal operators.
中文翻译:
Marcinkiewicz序列空间的几何
我们表征的单元球的实际极值点\(平方公尺0_ \帕普西\) ,单位球上的复杂的极值点\(M_ \帕普西\)和实际的极端和单位球上的暴露点\ ((m_ \ Psi ^ 0)'\)。使用这些特征,我们表明,根据极值点的长度,\(m ^ 0_ \ Psi \)的乘数是恒等式或对角线运算符的常数倍。