- 期刊
GENERALIZED DISSIPATIVENESS IN A BANACH SPACE
摘要
Suppose X is a real or complex Banach space with dual X^* and a semiscalar product [,]. For k a real number, a subset B of X × X will be called k-dissipative if for each pair of elements (x1, y1), (x2, y2) in B, there exists (The equation is abbreviated) such that(The equation is abbreviated) This definition extends a notion of dissipativeness which is equivalent to having k equal zero here. A number of definitions and theorems related to this original dissipative notion are generalized in the present paper to fit the k-dissipative situation, and proofs are given for the new theorems.
延伸閱讀
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