Linear Operators: Spectral operators |
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Page 2039
... fact that the matrix ( Â ( s ) ) has ( −1 ) ka2k | s | 2k for its elements on the principal diagonal , zeros below the diagonal , polynomials of degree at most 2k above it , and may be derived by the argument used to prove equation ...
... fact that the matrix ( Â ( s ) ) has ( −1 ) ka2k | s | 2k for its elements on the principal diagonal , zeros below the diagonal , polynomials of degree at most 2k above it , and may be derived by the argument used to prove equation ...
Page 2056
... facts which allows the man to recover only if he calls a physician . These two facts , that of recovering and that of ... fact that man is an incontinent being . Thus man's decisions , which affect his actions and thus determine his ...
... facts which allows the man to recover only if he calls a physician . These two facts , that of recovering and that of ... fact that man is an incontinent being . Thus man's decisions , which affect his actions and thus determine his ...
Page 2492
... fact that conditions [ * ] and [ ** ] are satisfied for all λ = σ ( T 。) , and not merely for all λ = △ . Then there exists an analytically varying unitary operator defined for all small real ε , such that T = Uz1ToU ̧ · = U¿1T。Uɛ ε ...
... fact that conditions [ * ] and [ ** ] are satisfied for all λ = σ ( T 。) , and not merely for all λ = △ . Then there exists an analytically varying unitary operator defined for all small real ε , such that T = Uz1ToU ̧ · = U¿1T。Uɛ ε ...
Contents
SPECTRAL OPERATORS | 1924 |
14 | 1983 |
Sufficient Conditions | 2134 |
Copyright | |
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A₁ adjoint operator algebra of projections Amer analytic arbitrary asymptotic B₁ Banach space Boolean algebra Borel set boundary conditions bounded Borel function bounded linear operator bounded operator commuting compact complete Boolean algebra complex numbers complex plane continuous functions converges Corollary countably additive Definition denote differential operator Doklady Akad domain E₁ eigenvalues elements equation exists finite number follows from Lemma follows from Theorem follows immediately formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality inverse L₁ Lebesgue Math multiplicity Nauk SSSR norm operators in Hilbert perturbation PROOF properties prove quasi-nilpotent resolution Russian satisfies scalar type operator scalar type spectral Section sequence shows spectral measure spectral operator spectral theory spectrum subset Suppose trace class type spectral operator unbounded uniformly bounded vector zero