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This paper deals with certain aspects of the vector valued de Branges spacesof entire functions that are associated with operator valued kernel functions.Some factorization and isometric embedding results have been extended from thescalar valued theory of de Branges spaces. In particular, global factorizationand analytic equivalence of Fredholm operator valued entire functions arediscussed. Additionally, the operator valued entire functions associated withthese de Branges spaces are studied.

On vector valued de Branges spaces: Factorization, Isometric Embedding and Associated Functions