Open AccessOn the Representation of Orthogonally Additive Polynomials in $ℓ_p$
Author(s) -
Alberto Ibort,
P. Linares,
José G. Llavona
Publication year - 2009
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1241553128
Subject(s) - mathematics , representation (politics) , pure mathematics , combinatorics , algebra over a field , law , politics , political science
We present a new proof of a Sundaresan's result which shows that the space of orthogonally additive polynomials P-0((k)l(p)) is isometrically isomorphic to l(p/p-k) if k < p < infinity and to l(infinity) if 1 <= p <= k.\ud\u
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom