The algebraic size of the family of injective operators

The algebraic size of the family of injective operators

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In Sovereign CDS Premiums’ Reaction to Macroeconomic News: An Empirical Investigation this paper, 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 supports a commutative infinitely generated free linear algebra of operators all of whose nonzero The Association Between PM and Depression in China members are one-to-one.In certain cases, the assertion holds for nonseparable Banach spaces.