Linear Topological Spaces and Linear Operators
We shall consider linear spaces L over the fields R and C. In cases when a statement does not depend on the choice of field, we write K instead of R or C. If A and B are two subsets of L and λ and μ are two numbers in K, then λA + μB denotes the set of elements z ∈ L of the form λx -I- μy, where x ∈ A, y ∈ B.
KeywordsHilbert Space Banach Space Linear Operator Compact Operator Weak Topology
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