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Unit 19: The Open Mapping Theorem 217
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Unit 20: The Closed Graph Theorem 225
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Unit 21: The Conjugate of an Operator 231
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Unit 22: The Uniform Boundedness Theorem 238
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Unit 23: Hilbert Spaces The Definition and Some Simple Properties 244
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Unit 24: Orthogonal Complements 253
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Unit 25: Orthonormal Sets 262
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Unit 26: The Conjugate Space H* 273
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Unit 27: The Adjoint of an Operator 283
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Unit 28: Self Adjoint Operators 294
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Unit 29: Normal and Unitary Operators 305
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Unit 30: Projections 316
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Unit 31: Finite Dimensional Spectral Theory 329
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