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Cover; Title; Copyright; Contents; Introduction; I ALGEBRAIC PRELIMINARIES; 1 BILINEAR MAPS; 2 TENSOR PRODUCT OF TWO VECTOR SPACES; 2.1 Theorem: This construction can always be performed.; 2.2 Remarks:; 2. 3 Proposition; 2.4 Notation; 2.5 Theorem; 2.6 Corollary:; 2.7 Tensor prod…