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 |
Spectral Operators | 1925 |
Terminology and Preliminary Notions | 1928 |
Copyright | |
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A₁ adjoint operator algebra Amer analytic applications arbitrary B-space Banach Banach space Boolean algebra Borel sets boundary bounded Chapter clear closed commuting compact complex constant contains continuous converges Corollary corresponding defined Definition denote dense determined differential operators Doklady Akad elements equation equivalent established example exists extension finite follows formula function given gives H₁ Hence Hilbert space hypothesis identity integral invariant inverse Lemma limit linear operators Math multiplicity Nauk SSSR norm normal perturbation plane positive preceding present problem Proc projections PROOF properties prove range resolution resolvent restriction Russian satisfies scalar type sequence shown shows similar spectral measure spectral operator spectrum subset sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector zero