scholarly journals Towards a theory of some unbounded linear operators on p-adic Hilbert spaces and applications

2005 ◽  
Vol 12 (1) ◽  
pp. 205-222 ◽  
Author(s):  
Toka Diagana
Keyword(s):  
Hilbert Spaces ◽  
Linear Operators ◽  
Unbounded Linear Operators

Unbounded Linear Operators

2018 ◽  
Author(s):  
D. E. Edmunds ◽  
W. D. Evans
Keyword(s):  
Hilbert Spaces ◽  
Linear Operators ◽  
Von Neumann ◽  
Limit Circle ◽  
Sectorial Operators ◽  
Closed Operators ◽  
The Stability ◽  
Symmetric Operators ◽  
Unbounded Linear Operators ◽  
Special Case

This chapter is concerned with closable and closed operators in Hilbert spaces, especially with the special classes of symmetric, J-symmetric, accretive and sectorial operators. The Stone–von Neumann theory of extensions of symmetric operators is treated as a special case of results for compatible adjoint pairs of closed operators. Also discussed in detail is the stability of closedness and self-adjointness under perturbations. The abstract results are applied to operators defined by second-order differential expressions, and Sims’ generalization of the Weyl limit-point, limit-circle characterization for symmetric expressions to J-symmetric expressions is proved.

Unbounded Linear Operators in Hilbert Spaces

2002 ◽  
pp. 3-42
Author(s):  
Jean-Pierre Antoine ◽  
Atsushi Inoue ◽  
Camillo Trapani
Keyword(s):  
Hilbert Spaces ◽  
Linear Operators ◽  
Unbounded Linear Operators

Toward a constructive theory of unbounded linear operators

2000 ◽  
Vol 65 (1) ◽  
pp. 357-370 ◽  
Author(s):  
Feng Ye
Keyword(s):  
Hilbert Spaces ◽  
Linear Operators ◽  
The Self ◽  
Spectral Theorem ◽  
Quantum Mechanical ◽  
Constructive Theory ◽  
Electro Magnetic ◽  
Unbounded Linear Operators ◽  
Bishop’S Constructive Mathematics ◽  
Stone’S Theorem

AbstractWe show that the following results in the classical theory of unbounded linear operators on Hilbert spaces can be proved within the framework of Bishop's constructive mathematics: the Kato-Rellich theorem, the spectral theorem. Stone's theorem, and the self-adjointness of the most common quantum mechanical operators, including the Hamiltonians of electro-magnetic fields with some general forms of potentials.

scholarly journals Sets of periods for chaotic linear operators

2021 ◽  
Vol 115 (2) ◽  
Author(s):  
J. A. Conejero ◽  
F. Martínez-Giménez ◽  
A. Peris ◽  
F. Rodenas
Keyword(s):  
Banach Spaces ◽  
Hilbert Spaces ◽  
Complete Characterization ◽  
Linear Operators

AbstractWe provide a complete characterization of the possible sets of periods for Devaney chaotic linear operators on Hilbert spaces. As a consequence, we also derive this characterization for linearizable maps on Banach spaces.

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