Linear Operators: Spectral operators |
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Page 2010
... Unbounded Spectral Operators Although the topic of unbounded spectral operators will be treated in some detail in Chapter XVIII and many illustrations of such operators will be found in Chapters XIX and XX , we introduce the subject ...
... Unbounded Spectral Operators Although the topic of unbounded spectral operators will be treated in some detail in Chapter XVIII and many illustrations of such operators will be found in Chapters XIX and XX , we introduce the subject ...
Page 2013
... unbounded convolution . The preceding discussion may be summarized as follows . 2 THEOREM . For each measurable p × p matrix  ( s ) of complex functions defined almost everywhere on and each measurable set o in S the operators  , and ...
... unbounded convolution . The preceding discussion may be summarized as follows . 2 THEOREM . For each measurable p × p matrix  ( s ) of complex functions defined almost everywhere on and each measurable set o in S the operators  , and ...
Page 2227
... unbounded operators . The present chapter is an attempt to make the corresponding step in the theory of spectral operators . We ... Unbounded Spectral Operators 1 DEFINITION . Let B denote 2227 Unbounded Spectral Operators 1 Introduction.
... unbounded operators . The present chapter is an attempt to make the corresponding step in the theory of spectral operators . We ... Unbounded Spectral Operators 1 DEFINITION . Let B denote 2227 Unbounded Spectral Operators 1 Introduction.
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