Linear Operators: Spectral operators |
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Page 2312
... space X. Let f * , f * , ... , f be a basis for the solutions of the equation ( T * — λ 。) ƒ * = 0 and let Σ be the ... Banach space . It is well to remark , how- ever , that in the special case in which the Banach space is Hilbert ...
... space X. Let f * , f * , ... , f be a basis for the solutions of the equation ( T * — λ 。) ƒ * = 0 and let Σ be the ... Banach space . It is well to remark , how- ever , that in the special case in which the Banach space is Hilbert ...
Page 2313
... Banach space adjoint , contrary to our practice in other Banach spaces . This has the effect of introducing complex conjugates in many of the Hilbert - space formulas where the corresponding Banach - space formulas do not have complex ...
... Banach space adjoint , contrary to our practice in other Banach spaces . This has the effect of introducing complex conjugates in many of the Hilbert - space formulas where the corresponding Banach - space formulas do not have complex ...
Page 2541
... space . Trans . Amer . Math . Soc . 113 , 488-511 ( 1964 ) . Kaniel , S ... Banach algebras for algebra - valued functions . Trans . Amer . Math . Soc ... Banach space . Bull . Amer . Math . Soc . 71 , 891-893 ( 1965 ) . A Jordan ...
... space . Trans . Amer . Math . Soc . 113 , 488-511 ( 1964 ) . Kaniel , S ... Banach algebras for algebra - valued functions . Trans . Amer . Math . Soc ... Banach space . Bull . Amer . Math . Soc . 71 , 891-893 ( 1965 ) . A Jordan ...
Contents
SPECTRAL OPERATORS | 1924 |
Spectral Operators | 1925 |
Terminology and Preliminary Notions | 1928 |
Copyright | |
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A₁ 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 operator 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 subspace sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector zero