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Subjects
46-XX Functional analysis
46Bxx Normed linear spaces and Banach spaces; Banach lattices
46B99 None of the above, but in this section

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Topological proper separation theorems

Ulrich Meyer zu Hörste (1982)

Commentationes Mathematicae Universitatis Carolinae

Two mappings related to semi-inner products and their applications in geometry of normed linear spaces

Sever Silvestru Dragomir, Jaromír J. Koliha (2000)

Applications of Mathematics

In this paper we introduce two mappings associated with the lower and upper semi-inner product ${(\cdot, \cdot)}_{i}$ and ${(\cdot, \cdot)}_{s}$ and with semi-inner products $[\cdot, \cdot]$ (in the sense of Lumer) which generate the norm of a real normed linear space, and study properties of monotonicity and boundedness of these mappings. We give a refinement of the Schwarz inequality, applications to the Birkhoff orthogonality, to smoothness of normed linear spaces as well as to the characterization of best approximants.

Two remarks on the Khintchine-Kahane inequality

B. Tomaszewski (1982)

Colloquium Mathematicae

Typical $ℱ_{σ}$ sets and typical continuous functions

Shingo Saito (2006)

Acta Universitatis Carolinae. Mathematica et Physica

Currently displaying 21 – 24 of 24