Extensions and generalized resolvents of closed dissipative operators
Copyright policy )Extensions and generalized resolvents of closed dissipative operators
Let B be a closed dissipative operator in a Hilbert space ℋ with an arbitrary domain of definition. We investigate briefly the problem of describing all the closed (and, in particular, the closed maximal) dissipative extensions B of the operator B. Following this we introduce the concept of a generalized resolvent of a closed dissipative operator with an arbitrary domain of definition, and we study the fundamental properties of generalized resolvents.
Functional calculus for linear operators, Dilations, extensions, compressions of linear operators, Spectrum, resolvent, Linear accretive operators, dissipative operators, etc.
Functional calculus for linear operators, Dilations, extensions, compressions of linear operators, Spectrum, resolvent, Linear accretive operators, dissipative operators, etc.
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