Some properties of C-reflexive locally convex spaces | Zendy

Stojan Radenović | Zendy

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Some properties of C-reflexive locally convex spaces

Author(s) -

Stojan Radenović

Publication year - 2007

Publication title -

publikacija elektrotehnickog fakulteta - serija matematika

Language(s) - English

Resource type - Journals

eISSN - 2406-0852

pISSN - 0353-8893

DOI - 10.2298/petf0718052r

Subject(s) - reflexivity , mathematics , quotient , linear subspace , pure mathematics , reflexive space , class (philosophy) , locally convex topological vector space , space (punctuation) , uniformly convex space , regular polygon , product (mathematics) , quotient space (topology) , combinatorics , interpolation space , lp space , computer science , geometry , banach space , functional analysis , topological space , eberlein–šmulian theorem , sociology , artificial intelligence , social science , biochemistry , chemistry , gene , operating system

In this note, we shall prove that the class of C-reflexive spaces is stable with respect to separated quotient, arbitrary product and sum, which is not the case for the closed subspaces and the dense hyper planes. If the quotient mapping lifts compact disks, then the class of C-reflexive spaces is three-space stable.

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