Strictly singular operators in pairs of L (p) space Articles uri icon

authors

  • SEMENOV, E. M.
  • TRADACETE PEREZ, PEDRO
  • HERNANDEZ, F. L.

publication date

  • July 2016

start page

  • 450

end page

  • 452

issue

  • 1

volume

  • 94

International Standard Serial Number (ISSN)

  • 1064-5624

Electronic International Standard Serial Number (EISSN)

  • 1531-8362

abstract

  • Let E and F be Banach spaces. A linear operator from E to F is said to be strictly singular if, for any subspace Q aS, E, the restriction of A to Q is not an isomorphism. A compactness criterion for any strictly singular operator from L (p) to L (q) is found. There exists a strictly singular but not superstrictly singular operator on L (p) , provided that p not equal 2.

keywords

  • banach-lattices; compact