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2024
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β(π) basis consisting of diagonalizable operators.
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Example of an operator that is not diagonalizable
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Two operators and their same eigenvalues.
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R,T in F4, but only 3 eigenvalues, existence of an invertible operator
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T^2 is diagonalizable, but T not diagonalizable
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Diagonalizable quotient operator V/U
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T|U and T/U diagonalizable.
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T and T' diagonalizable
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Diagonalizable operator and direct sum
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β(π) basis consisting of diagonalizable operators.
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Example of an operator that is not diagonalizable
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Two operators and their same eigenvalues.
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R,T in F4, but only 3 eigenvalues, existence of an invertible operator
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T^2 is diagonalizable, but T not diagonalizable
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Diagonalizable quotient operator V/U
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T|U and T/U diagonalizable.
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T and T' diagonalizable
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Diagonalizable operator and direct sum
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