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The numerical index of Banach spaces and some related topics

 

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  • Product Description
 

The theory of numerical ranges has played a crucial role in the study of some algebraic structures and in the theory of Matrix operator. Of course there are many other Banach spaces whose numerical index is unknown such as Orlicz spaces. So we construct some new Banach sequence spaces which are subspaces of Orlicz spaces such as Nakano difference sequence space, Orlicz-Cesaro difference sequence space, Musielak-Orlicz and generalized Cesaro sequence space defined by weighted means, and give some geometric properties of these spaces. Finally we give a lower bound for the numerical index of the two-dimensional real Nakano sequence space. This gives a partial answer to Martin’s question [74] and generalizes the result obtained for the scalar case [71].

Product Specifications
SKU :COC67671
AuthorAwad Bakery and Nashat Faried
LanguageEnglish
BindingPaperback
Number of Pages152
Publishing Year2013-01-12T00:00:00.000
ISBN9783659226663
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-08 00:00:00
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