With the use of interpolation methods we obtain some results about the domain of an operator acting on the nested Hilbert space {ℋf}f∈∑ generated by a self-adjoint operatorA and some estimates of the norms of its representatives. Some consequences in the particular case of the scale of Hilbert spaces are discussed
TSCHINKE F (2005). Some results about Operators in Nested Hilbert Spaces. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 54(1), 81-92 [10.1007/BF02875745].
Some results about Operators in Nested Hilbert Spaces
TSCHINKE, Francesco
2005-01-01
Abstract
With the use of interpolation methods we obtain some results about the domain of an operator acting on the nested Hilbert space {ℋf}f∈∑ generated by a self-adjoint operatorA and some estimates of the norms of its representatives. Some consequences in the particular case of the scale of Hilbert spaces are discussed
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