On the Representation of Orthogonally Additive Polynomials in lp Articles uri icon

publication date

  • June 2009

start page

  • 519

end page

  • 524

issue

  • 2

volume

  • 45

International Standard Serial Number (ISSN)

  • 0034-5318

Electronic International Standard Serial Number (EISSN)

  • 1663-4926

abstract

  • We present a new proof of a Sundaresan's result which shows that the space of orthogonally additive polynomials Po(kℓp) is isometrically isomorphic to ℓp/p−k if k < p <∞ and to ℓ∞ if 1 ≤ p ≤ k.