Open AccessDuality Mapping and Birkhoff Orthogonality
Author(s) -
Theodor Precupanu
Publication year - 2013
Publication title -
analele ştiinţifice ale universităţii "al.i. cuza" din iaşi. matematică
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.144
H-Index - 12
eISSN - 2344-4967
pISSN - 1221-8421
DOI - 10.2478/v10157-012-0027-6
Subject(s) - orthogonality , duality (order theory) , mathematics , extension (predicate logic) , pure mathematics , algebra over a field , calculus (dental) , computer science , geometry , medicine , dentistry , programming language
. In this note we establish some properties of Birkhoff orthogonality in terms of duality mapping. Particularly, using a slight extension of a Rockafellar result we obtain a new proof of a result earlier established by Blanco and Turnšek concerning the linear operators preserving Birkhoff orthogonality.