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Semigroups and cosine function of normal operators in Hilbert spaces

Semigroups and cosine function of normal operators in Hilbert spaces

In this paper, we are concerned with properties of semigroups and cosine functions of normal operators in Hilbert spaces.There are four sections: 1) Some Hilbert spaces notions and lemmas; 2) Growth of semigroups and cosine functions of normal operators; 3) Generators of semigroups and cosine functions of normal operators; 4) …