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Week
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Topics
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Study Metarials
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1
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Linear functionals on Hilbert spaces
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2
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The adjoint of an operator
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3
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Normal, self-adjoint and unitary operators
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4
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The spectrum of an operator
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5
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Positive operators and projections
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6
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Compact operators on Banach spaces
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7
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Compact operators on Hilbert spaces
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8
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The spectral theory of compact operators on Hilbert spaces
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9
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Self-adjoint compact operators
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10
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Fredholm integral equation
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11
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Volterra integral equation
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12
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Strict positive and positive operators
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13
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Hardy spaces
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14
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Bergman spaces
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