Positive selfadjoint extensions of positive symmetric operators
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...An intrinsic description of the Krein–von Neumann extension SK of S ≥ 0 has been given by Ando and Nishio [11] in 1970, where SK has been characterized as the operator SK : dom(SK) ⊂ H → H given by SKu := S u, u ∈ dom(SK) := { v ∈ dom(S) ∣∣ there exists {vj}j∈N ⊂ dom(S), (9....
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...[11] T. Ando and K. Nishio, Positive selfadjoint extensions of positive symmetric operators, Tohoku Math....
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...109], [8], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [31], [46, Part III], [50, Sect....
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...(9.14) An intrinsic description of the Krein–von Neumann extension SK of S ≥ 0 has been given by Ando and Nishio [11] in 1970, where SK has been characterized as the operator SK : dom(SK) ⊂ H → H given by SKu := S ∗u, u ∈ dom(SK) := { v ∈ dom(S∗) ∣∣ there exists {vj}j∈N ⊂ dom(S), (9.15) with lim j→∞ ‖Svj − S ∗v‖H = 0 and ((vj − vk), S(vj − vk))H → 0 as j, k → ∞ } ....
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Cites background or methods from "Positive selfadjoint extensions of ..."
...10 goes back in the operator case to [34] and in the general case to [383]....
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...8) was introduced in [34] to detect the nonnegative self-adjoint operator extensions....
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References
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