Results 21 to 30 of about 36 (35)
International Journal of Stochastic Analysis, Volume 16, Issue 3, Page 209-231, 2003., 2003 Sensitivity of output of a linear operator to its input can be quantified in various ways. In Control Theory, the input is usually interpreted as disturbance and the output is to be minimized in some sense. In stochastic worst‐case design settings, the disturbance is considered random with imprecisely known probability distribution.
Phil Diamond +2 more
wiley +1 more source
Finite‐rank intermediate Hankel operators on the Bergman space
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 1, Page 19-31, 2001., 2001 Let L2 = L2(D, r dr dθ/π) be the Lebesgue space on the open unit disc and let La2=L2∩ℋol(D) be the Bergman space. Let P be the orthogonal projection of L2 onto La2 and let Q be the orthogonal projection onto L¯a,02={g∈L2;g¯∈La2, g(0)=0}. Then I − P ≥ Q.
Takahiko Nakazi, Tomoko Osawa
wiley +1 more source
Complex Manifolds, 2017 This paper gives a full characterization of the reducing subspaces for the multiplication operator Mϕ on the Dirichlet space with symbol of finite Blaschke product ϕ of order 5I 6I 7.
Gu Caixing, Luo Shuaibing, Xiao Jie
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A Berezin-type map and a class of weighted composition operators
Concrete Operators, 2017 In this paper we consider the map L defined on the Bergman space La2(+)$L_a^2({{\rm\mathbb{C}}_{\rm{ + }}})$ of the right half plane ℂ+ by (Lf)(w)=πM′(w)∫+(fM′)(s)|bw(s)|2dA˜(s)$(Lf)(w) = \pi M'(w)\int\limits_{{{\rm\mathbb{C}}_{\rm{ + }}}} {\left( {{f \
Das Namita
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On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 By applying the so-called Berezin symbols method we prove a Gohberg- Krein type theorem on the weak limit of compact operators on the non- standard reproducing kernel Hilbert space which essentially improves the similar results of Karaev [5]: We also in ...
Saltan Suna
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Harmonic analysis on the quantized Riemann sphere
, 1993 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 225-243, 1993.
Jaak Peetre, Genkai Zhang
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Introduction to the dynamical properties of Toeplitz operators on the Hardy space of the unit disc
Concrete OperatorsThese notes are based on a mini-course given at the ACOTCA conference 2025. The goal is to present full proofs of the first two key results regarding hypercyclic Toeplitz operators, in a way that is accessible to beginners.
Fricain Emmanuel, Ostermann Maëva
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Hyponormality on a weighted Bergman space of an annulus with a general harmonic symbol
Open MathematicsIn this work we consider the hyponormality of Toeplitz operators on the Bergman space of the annulus with a logarithmic weight. We give necessary conditions when the symbol is of the form φ+ψ̄ $\varphi +\bar{\psi }$ where both φ and ψ are analytic on ...
Sadraoui Houcine, Halouani Borhen
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Commutants of the sum of two quasihomogeneous Toeplitz operators
Concrete OperatorsA major open question in the theory of Toeplitz operator on the Bergman space of the unit disk of the complex plane is the complete characterization of the set of all Toeplitz operators that commute with a given operator.
Bouhali Aissa, Louhichi Issam
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Iwanami Studies in Advanced Mathematics Hilbert Spaces of Analytic Functions Takahiko Nakazi Professor (Emeritus) of Hokkaido University Mathematical Subject Classification (2000): Primary 46E22; Secondary 47A15, 47B35, 60G10identifier:北海学園大学学園論集 identifier:03857271 identifier:http://hokuga.hgu.jp/dspace/handle/123456789 ...
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