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 2107
Spectral measures , locally convex spaces and order . Spectral measures have
been studied in connection with ( partially ) ordered spaces by Schaefer [ 7 , 10 ,
11 ] , Schaefer and Walsh [ 1 ] , and Walsh [ 1 , 2 , 3 ] . We shall give a condensed
...
Spectral measures , locally convex spaces and order . Spectral measures have
been studied in connection with ( partially ) ordered spaces by Schaefer [ 7 , 10 ,
11 ] , Schaefer and Walsh [ 1 ] , and Walsh [ 1 , 2 , 3 ] . We shall give a condensed
...
Page 2110
Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the
Assistance of William G. Bade and ... One of the most surprising results due to
Walsh [ 2 ] is the result that if u is an equicontinuous Borel spectral measure into
the ...
Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the
Assistance of William G. Bade and ... One of the most surprising results due to
Walsh [ 2 ] is the result that if u is an equicontinuous Borel spectral measure into
the ...
Page 2591
definition of, XVI.4.1 (2145) Spectral operators, in 91'', condition for, XV. ... spaces
, XVII.5.16 (2225) Subscalar operators, XV.16 (2095-2096) Support, of a spectral
measure, XV.9 (1965) Tempered distribution in RN, complex conjugate of, XV.
definition of, XVI.4.1 (2145) Spectral operators, in 91'', condition for, XV. ... spaces
, XVII.5.16 (2225) Subscalar operators, XV.16 (2095-2096) Support, of a spectral
measure, XV.9 (1965) Tempered distribution in RN, complex conjugate of, XV.
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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 |