Superselection variables and generalized multipliers

1981 ◽  
Vol 5 (3) ◽  
pp. 161-168 ◽  
Author(s):  
N. Giovannini
Keyword(s):  
Generalized Multipliers

AN EIGENVALUE PROBLEM FOR A CLASS OF NONLINEAR ELLIPTIC OPERATORS

2005 ◽  
Vol 03 (01) ◽  
pp. 27-44
Author(s):  
GEORGE DINCA ◽  
PAVEL MATEI
Keyword(s):  
Weak Solution ◽  
Continuous Function ◽  
Minimization Problem ◽  
Constraint Qualification ◽  
Lagrange Equation ◽  
Generalized Derivatives ◽  
Real Numbers ◽  
Nonlinear Elliptic ◽  
Generalized Multipliers ◽  
Derivatives Of

Let a: [0, +∞) → [0, +∞) be an increasing continuous function with a(t) = 0 if and only if t = 0 and limt→+∞a(t) = +∞, Ω ⊂ ℝN be a bounded domain having the segment property and T[u,u] a nonnegative quadratic form involving the only generalized derivatives of order m of the function u: Ω → ℝ. Let p ≥ 1, μi ≠ 0 be real numbers, [Formula: see text], 1 ≤ i ≤ p and [Formula: see text] Put [Formula: see text] and [Formula: see text] Under certain hypotheses on Gi, we show that the minimization problem [Formula: see text] has a solution. Moreover, due to the well-known theorem on generalized multipliers involving the Robinson constraint qualification condition, the solution of the preceeding minimization problem is a weak solution of the corresponding Euler–Lagrange equation (1.1)–(1.2) below. We emphasize that no Δ2-condition on A or [Formula: see text] is imposed. One application to mechanics is given.

scholarly journals Parametric robust H2control design with generalized multipliers via LMI synthesis

1998 ◽  
Vol 70 (3) ◽  
pp. 481-503 ◽  
Author(s):  
David Banjerdpongchai ◽  
Jonathan P. How
Keyword(s):  
Generalized Multipliers

scholarly journals Generalized Multipliers for Left-Invertible Operators and Applications

2020 ◽  
Vol 92 (5) ◽  
Author(s):  
Paweł Pietrzycki
Keyword(s):  
Analytic Functions ◽  
Laurent Series ◽  
Invertible Operator ◽  
Weighted Shift ◽  
Multiplication Operators ◽  
Formal Laurent Series ◽  
Directed Tree ◽  
Generalized Multipliers ◽  
Weak Operator ◽  
Operator Convergence

Abstract Generalized multipliers for a left-invertible operator T, whose formal Laurent series $$U_x(z)=\sum _{n=1}^\infty (P_ET^{n}x)\frac{1}{z^n}+\sum _{n=0}^\infty (P_E{T^{\prime *n}}x)z^n$$ U x ( z ) = ∑ n = 1 ∞ ( P E T n x ) 1 z n + ∑ n = 0 ∞ ( P E T ′ ∗ n x ) z n , $$x\in \mathcal {H}$$ x ∈ H actually represent analytic functions on an annulus or a disc are investigated. We show that they are coefficients of analytic functions and characterize the commutant of some left-invertible operators, which satisfies certain conditions in its terms. In addition, we prove that the set of multiplication operators associated with a weighted shift on a rootless directed tree lies in the closure of polynomials in z and $$\frac{1}{z}$$ 1 z of the weighted shift in the topologies of strong and weak operator convergence.

scholarly journals Multipliers and generalized multipliers of cyclic objects and cyclic codes

1993 ◽  
Vol 62 (2) ◽  
pp. 183-215 ◽  
Author(s):  
W.Cary Huffman ◽  
Vanessa Job ◽  
Vera Pless
Keyword(s):  
Cyclic Codes ◽  
Generalized Multipliers

Generalized multipliers for left-invertible analytic operators and their applications to commutant and reflexivity

2019 ◽  
Vol 276 (4) ◽  
pp. 1244-1275 ◽  
Author(s):  
P. Dymek ◽  
A. Płaneta ◽  
M. Ptak
Keyword(s):  
Generalized Multipliers

INCOME, THE PRICE LEVEL, AND GENERALIZED MULTIPLIERS IN KEYNESIAN ECONOMICS (*)

1963 ◽  
Vol 15 (2-3) ◽  
pp. 59-81 ◽  
Author(s):  
R. J. Ball ◽  
R. G. Bodkin
Keyword(s):  
Price Level ◽  
Keynesian Economics ◽  
Generalized Multipliers

scholarly journals Generalized Multipliers of Families of Cauchy Transforms

1995 ◽  
Vol 193 (3) ◽  
pp. 909-922 ◽  
Author(s):  
R.A. Hibschweiler
Keyword(s):  
Cauchy Transforms ◽  
Generalized Multipliers

G-frames and their generalized multipliers in Hilbert spaces

2019 ◽  
Vol 10 (2) ◽  
pp. 180-195 ◽  
Author(s):  
Hessam Hosseinnezhad ◽  
Gholamreza Abbaspour Tabadkan ◽  
Asghar Rahimi
Keyword(s):  
Hilbert Spaces ◽  
Generalized Multipliers
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