The algebraic size of the family of injective operators

The algebraic size of the family of injective operators

Blog Article

In this paper, Course a pied - Femme - Vetements - Chandail - Long sleeves brosse a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators on an infinite dimensional Banach space is provided.As a consequence, it is shown that every separable infinite dimensional Banach space STYLING MOUSSE supports a commutative infinitely generated free linear algebra of operators all of whose nonzero members are one-to-one.In certain cases, the assertion holds for nonseparable Banach spaces.