Browsing Pure and Applied Mathematics by Subject "Prof. Khalil Ezzinbi"
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Co−Semigroups of Contradiction on Banach Spaces and Applications
(AUST, 2023-03-17)Let X be a Banach space and A : D(A) ⊂ X −→ X be an unbounded linear operator on X. We study the concept of C0−semigroup of contraction on arbitrary Banach space X and give the two characterizations of A called infinitesimal ...
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Spectral Decomposition of Compact Operators on Hilbert Spaces
(2017-11-23)Compact operators are linear operators on Banach spaces that maps bounded set to relatively compact sets. In the case of Hilbert space H it is an extension of the concept of matrix acting on a finite dimensional vector ...
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Variational Inequality in Hilbert Spaces and their Applications
(2019-06-23)The study of variational inequalities frequently deals with a mapping F from a vector 0 space X or a convex subset of X into its dual X . Let H be a real Hilbert space and a(u, v) be a real bilinear form on H. Assume that ...