Results 261 to 270 of about 2,703 (277)

Operator Integrals and Spectral Representations: The Bounded Case

2016
In the traditional Hilbert space quantum mechanics, (bounded or unbounded) selfadjoint operators are taken as physical observables. In the present work a more comprehensive approach is used: observables are represented as normalised positive operator measures. We develop the spectral representation theory of generally unbounded selfadjoint operators in
Paul Busch, Pekka Lahti, Juha-Pekka Pellonpää, Kari Ylinen   +3 more
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Bounded Linear Operators On a Hilbert Space

2002
Everyone is familiar with linear operators. Multiplication by a constant is a linear operator. Multiplication of vectors by matrices generates an operator. Integration usually generates another, depending upon the setting.
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State diagrams for bounded and unbounded linear operators

1990
The theme of this thesis is the construction of state diagrams and their implications. The author generalises most of the theorems in Chapter II of Goldberg [Gl] by dropping the assumption that the doin.ain of the operator is dense in X . The author also presents the standard Taylor-Halberg-Goldberg state diagrams [Gl, 61, 66]. Chapters II and III deal
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Bounded Imaginary Powers and H∞-Calculus of the Stokes Operator in Unbounded Domains

2006
In the present contribution we study the Stokes operator A q = -P q Δ on Lσq (Ω), 1 < q < ∞, where Ω is a suitable bounded or unbounded domain in ℝn, n ≥ 2, with C1,1-boundary. We present some conditions on Ω and the related function spaces and basic equations which guarantee that c + A q for suitable c ∈ ℝ is of positive type and admits a bounded H ...
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Bounds for Similarity Condition Numbers of Unbounded Operators

2023
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The Density Problem for Unbounded Bergman Operators

Integral Equations and Operator Theory, 2003
Sherwin Kouchekian
exaly  

Similarities involving unbounded normal operators

Tsukuba Journal of Mathematics, 2010
Mohammed Hichem Mortad
exaly  

Admissibility of Unbounded Control Operators

SIAM Journal on Control and Optimization, 1989

exaly  

Multinormed semifinite von Neumann algebras, unbounded operators and conditional expectations

Journal of Mathematical Analysis and Applications, 2018
Anar Dosi
exaly  

Counterexamples Related to Commutators of Unbounded Operators

Results in Mathematics, 2019
Mohammed Hichem Mortad
exaly