Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |
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Page 2313
This is because in Hilbert space we use the Hermitian rather than the pure
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 ...
This is because in Hilbert space we use the Hermitian rather than the pure
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 ...
Page 2514
Some properties of spectral maximal spaces and decomposable operators . Rev .
Roumaine Math . Pures Appl . 12 , 607 – 610 ( 1967 ) . 16 . Some properties of a
couple of operators on a Banach space . Rev . Roumaine Math . Pures Appl ...
Some properties of spectral maximal spaces and decomposable operators . Rev .
Roumaine Math . Pures Appl . 12 , 607 – 610 ( 1967 ) . 16 . Some properties of a
couple of operators on a Banach space . Rev . Roumaine Math . Pures Appl ...
Page 2528
Finite dimensional perturbations in Banach spaces . Amer . ... Weak limits of
powers of a contraction in Hilbert space . Proc . Amer . Math . Soc . 16 , 659 – 661
( 1965 ) . 12 . On spectrality criterion for operators on a direct sum of Hilbert
spaces .
Finite dimensional perturbations in Banach spaces . Amer . ... Weak limits of
powers of a contraction in Hilbert space . Proc . Amer . Math . Soc . 16 , 659 – 661
( 1965 ) . 12 . On spectrality criterion for operators on a direct sum of Hilbert
spaces .
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Contents
SPECTRAL OPERATORS XV Spectral Operators | 1924 |
Introduction | 1925 |
Terminology and Preliminary Notions | 1928 |
Copyright | |
32 other sections not shown
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Common terms and phrases
analytic apply arbitrary assumed B-space Banach space Boolean algebra Borel sets boundary conditions bounded bounded Borel bounded operator Chapter clear clearly closure commuting compact complex consider constant contained converges Corollary corresponding countably additive defined Definition denote dense determined differential operator domain elements equation equivalent established example exists extension fact finite follows formal formula given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear linear operator manifold Math Moreover multiplicity norm positive preceding present problem projections PROOF properties prove range regular resolution resolvent respectively restriction Russian satisfies scalar type seen sequence shown shows spectral measure spectral operator spectrum statement strongly subset subspace sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector weakly zero
Bibliographic information
| Title | Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 Pure and applied mathematics, v. 7 |
| Authors | Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle |
| Editors | L. Bers, J. J. Stoker |
| Publisher | Wiley-Interscience, 1957 |
| Original from | the University of Michigan |
| Digitized | 2 Feb 2010 |
| ISBN | 0471226394, 9780471226390 |
| Length | 667 pages |
| Export Citation | BiBTeX EndNote RefMan |