This chapter summarizes the background required for the rest of the book. Its purpose is threefold: notation, terminology, and basic results. By basic results we mean well-known theorems from single operator theory that will be needed in the sequel. As usual, the set of nonnegative integers, positive integers, and all integers will be denoted by ℕ0, ℕ, ℤ, and the set of rational numbers, real numbers, and complex numbers will denoted by ℚ, ℝ, and ℂ, respectively.
KeywordsHilbert Space Banach Space Linear Transformation Normed Space Orthogonal Projection
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