Jiang,Chunlan & Wang,Zongyao 2006 Structure Of Hilbert Space Operators - World Scientific pany.pdf

structure of
Operators
Chunlan Jiang Zongyao Wang
structure of
Hilbert Space
Operators
Chunlan Jiang
Hebei Normal University, China
Zongyao Wang
East China University of Science and Technology, China
structure of
Hilbert Space
Operators
Y^ World Scientific
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STRUCTURE OF HILBERT SPACE OPERATORS
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Preface
In the matrix theory of finite dimensional space, the famous Jordan Stan•
dard Theorem sufficiently reveals the internal structure of matrices. Jordan
Theorem indicates that the eigenvalues and the generalized eigenspace of
matrix determine plete similarity invariants of a matrix. It is ob•
vious that the Jordan block in matrix theory plays a fundamental and
important role. When we consider plex, separable, infinite dimen•
sional Hilbert space H and use C{7i) to denote the class of linear bounded
operators on H, we face one of the