A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces | Zendy

Manijeh Salimi | Zendy; Seyed Mohammad Moshtaghioun | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces

Author(s) -

Manijeh Salimi,

Seyed Mohammad Moshtaghioun

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/212957

Subject(s) - mathematics , banach space , approximation property , pure mathematics , lp space , class (philosophy) , banach manifold , property (philosophy) , interpolation space , eberlein–šmulian theorem , finite rank operator , c0 semigroup , relation (database) , functional analysis , computer science , philosophy , biochemistry , chemistry , epistemology , database , artificial intelligence , gene

By introducing the concept of L-limited sets and then L-limited Banach spaces, we obtain some characterizations of it with respect to some well-known geometric properties of Banach spaces, such as Grothendieck property, Gelfand-Phillips property, and reciprocal Dunford-Pettis property. Some complementability of operators on such Banach spaces are also investigated

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research