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Composition Operators and Multiplication Operators on Orlicz Spaces
Y Estaremi, S Shamsi Gomechi
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Duality and multiplication operators [PDF]
Let \(\mathbb{D}\) denote the open unit disk and let \(dA\) denote the normalized Lebesgue measure on \(\mathbb{D}\). The Bergman space is defined by \({\mathcal L}_ a^ p=\{f\); \(f:\mathbb{D}\to\mathbb{C}\), \(f\) analytic and \(\int_ D| f(z)|^ 2 dA(z)
Shunhua Sun, Pratibha G. Ghatage
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Multiplicative Commutators of Operators
Canadian Journal of Mathematics, 1966An invertible operator T on a Hilbert space is a multiplicative commutator if there exist invertible operators A and B on such that T = ABA–1B–1. In this paper we discuss the question of which operators are, and which are not, multiplicative commutators.
Carl Pearcy, Arlen Brown
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Canadian Journal of Mathematics, 1989
Let V(x) ≧ 0 be given on Rn and defineThis constant has played a role in many investigation. For n — 3 it was shown in Courant-Hilbert [7] p. 446 that In [10], Kato estimates C2,2,2,ƛ(V) in terms of the L2 +L∞ norm of V in R3. Stummel [22] showed that C2,2,2,1(V) is bounded by in Rn, n > 2, provided α < 4. Browder [6] and Balslev [3] showed that
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Let V(x) ≧ 0 be given on Rn and defineThis constant has played a role in many investigation. For n — 3 it was shown in Courant-Hilbert [7] p. 446 that In [10], Kato estimates C2,2,2,ƛ(V) in terms of the L2 +L∞ norm of V in R3. Stummel [22] showed that C2,2,2,1(V) is bounded by in Rn, n > 2, provided α < 4. Browder [6] and Balslev [3] showed that
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Multiplicity, calculuses, and multiplication operators
Siberian Mathematical Journal, 1988See the review in Zbl 0648.47003.
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The commutant of a multiplication operator
Journal of Mathematical Physics, 1982We determine the class of all operators commuting with a multiplication operator defined by a general piecewise continuous strictly monotonic function.
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MULTIPLE OPERATIONS FOR STRABISMUS
Australian and New Zealand Journal of Ophthalmology, 1980Some examples will be noted where the strabismus surgeon plans the patient to have more than one operation. Unfortunately most multistage strabismus procedures are unplanned and are a consequence of failure of the initial surgery. The three most common causes of such failure will be discussed.
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Classes of Multiplication Operators and Their Limit Operators
Zeitschrift für Analysis und ihre Anwendungen, 2004Limit operators have proven to be a device for the study of several properties of an operator including Fredholmness and invertibility at infinity, but also the applicability of approximation methods. For band-dominated operators, the question of existence and structure of their limit operators essentially reduces to the study of multiplication ...
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