Displaying similar documents to “Hahn-Banach theorem implies Riesz theorem.”

Banach spaces which embed into their dual

Valerio Capraro, Stefano Rossi (2011)

Colloquium Mathematicae

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We use Birkhoff-James' orthogonality in Banach spaces to provide new conditions for the converse of the classical Riesz representation theorem.

Banach-Mackey spaces.

Qiu, Jing Hui, McKennon, Kelly (1991)

International Journal of Mathematics and Mathematical Sciences

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Exhaustivity in Topological Riesz Spaces with the Principal Projection Property

Kimberly Muller (2006)

Bulletin of the Polish Academy of Sciences. Mathematics

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Exhaustive and uniformly exhaustive elements are studied in the setting of locally solid topological Riesz spaces with the principal projection property. We study the structure of the order interval [0,x] when x is an exhaustive element and the structure of the solid hull of a set of uniformly exhaustive elements.

A note on Riesz spaces with property- b

Ş. Alpay, B. Altin, C. Tonyali (2006)

Czechoslovak Mathematical Journal

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We study an order boundedness property in Riesz spaces and investigate Riesz spaces and Banach lattices enjoying this property.

On the Kleinecke-Shirokov Theorem for families of derivations

Victor S. Shulman, Yuriĭ V. Turovskii (2002)

Studia Mathematica

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It is proved that Riesz elements in the intersection of the kernel and the closure of the image of a family of derivations on a Banach algebra are quasinilpotent. Some related results are obtained.

Acknowledgement of priority: Separable quotients of Banach spaces.

Marek Wójtowicz (1998)

Collectanea Mathematica

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In previous papers, it is proved, among other things, that every infinite dimensional sigma-Dedekind complete Banach lattice has a separable quotient. It has come to my attention that L. Weis proved this result without assuming sigma-Dedekind completeness; the proof is based, however, on the deep theorem of J. Hagler and W.B. Johnson concerning the structure of dual balls of Banach spaces and therefore cannot be applied simply to the case of locally convex solid topologically complete...