Symmetric Linear Transformations on Hilbert Spaces

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dc.contributor.advisorMcCabe, Terence W.
dc.contributor.authorChow, Chung Lim
dc.contributor.committeeMemberJia, Xing-De
dc.contributor.committeeMemberWayment, Stanley G.
dc.date.accessioned2024-05-07T16:50:59Z
dc.date.available2024-05-07T16:50:59Z
dc.date.issued1993-05
dc.description.abstractThe problem presented in this thesis is to characterize symmetric linear transformations on real Hilbert Space, i.e. a complete inner product space in which the scalar field is the real numbers. Additional conditions such as boundedness and compactness will be considered in our characterization. The following questions will be answered in this thesis: 1. What are the requirements for a symmetric bounded linear transformation to have eigenvalues? 2. Which symmetric linear transformation has a "square root"? Furthermore we will examine the kernel problem and the projection operator.
dc.description.departmentMathematics
dc.formatText
dc.format.extent52 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationChow, C.L. (1993). Symmetric linear transformations on Hilbert spaces (Unpublished thesis). Southwest Texas State University, San Marcos, Texas.
dc.identifier.urihttps://hdl.handle.net/10877/18562
dc.language.isoen
dc.subjectHilbert space
dc.subjectdifferential equations
dc.titleSymmetric Linear Transformations on Hilbert Spaces
dc.typeThesis
thesis.degree.departmentMathematics
thesis.degree.disciplineMathematics
thesis.degree.grantorSouthwest Texas State University
thesis.degree.levelMasters
thesis.degree.nameMaster of Science

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