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作者:Anthony W. Knapp
来源:[B].Advanced Real Analysis2017Project Euclid
摘要:This chapter pursues three lines of investigation in the subject of functional analysis—one involving smooth functions and distributions, one involving fixed-point theorems, and one involving spectral theory.(#br)Section 1 introduces topological vector spaces. These are real...
作者:Anthony W. Knapp
来源:[B].Advanced Real Analysis2017Project Euclid
摘要:This chapter proves a first version of the Spectral Theorem and shows how it applies to complete the analysis in Sturm’s Theorem of Section I.3.(#br)Section 1 introduces compact linear operators from a Hilbert space into itself and characterizes them as the limits in the ope...

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