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2023
AbstractWe discuss multiplication operators Mφf = φf on L2(μ), where μ is a finite positive Borel measure on a compact set in ℂ and φ is a μ-essentially bounded function. These operators represent normal operators on Hilbert spaces via the spectral theorem.
Stephan Ramon Garcia +2 more
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AbstractWe discuss multiplication operators Mφf = φf on L2(μ), where μ is a finite positive Borel measure on a compact set in ℂ and φ is a μ-essentially bounded function. These operators represent normal operators on Hilbert spaces via the spectral theorem.
Stephan Ramon Garcia +2 more
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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.
Brown, Arlen, Pearcy, Carl
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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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2023
AbstractThis chapter concerns the multiplication operators Mx:L2[0,1]→L2[0,1],(Mxf)(x)=xf(x) and Mξ:L2(T)→L2(T),(Mξg)(ξ)=ξg(ξ). We discuss their spectra and invariant subspaces. This requires the introduction of Fourier series and the Hardy space H2.
Stephan Ramon Garcia +2 more
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AbstractThis chapter concerns the multiplication operators Mx:L2[0,1]→L2[0,1],(Mxf)(x)=xf(x) and Mξ:L2(T)→L2(T),(Mξg)(ξ)=ξg(ξ). We discuss their spectra and invariant subspaces. This requires the introduction of Fourier series and the Hardy space H2.
Stephan Ramon Garcia +2 more
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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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Multiplication and Compact-friendly Operators
Positivity, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abramovich, Y. A. +2 more
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Multiplicity, calculuses, and multiplication operators
Siberian Mathematical Journal, 1988See the review in Zbl 0648.47003.
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Mixing multiplication operators
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2019
Theory of multiple operator integrals arose as an extension of the double operator integration theory to the settings that could not be encompassed by the latter constructions. In particular, multilinear transformations naturally arise in finding summable approximations to operator functions in the case of nontrace class perturbations, as we will see ...
Anna Skripka, Anna Tomskova
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Theory of multiple operator integrals arose as an extension of the double operator integration theory to the settings that could not be encompassed by the latter constructions. In particular, multilinear transformations naturally arise in finding summable approximations to operator functions in the case of nontrace class perturbations, as we will see ...
Anna Skripka, Anna Tomskova
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