Results 21 to 30 of about 379 (60)
Generalized derivation modulo the ideal of all compact operators
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 8, Page 501-506, 2002., 2002 We give some results concerning the orthogonality of the range and the kernel of a generalized derivation modulo the ideal of all compact operators.
Salah Mecheri, Ahmed Bachir
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Analysis of the energy decay of a viscoelasticity type equation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we study the evolution of the energy density of a sequence of solutions of a problem related to a viscoelasticity model where the viscosity term is a pseudo-differential operator of order 2α with α ∈ (0, 1).
Atallah-Baraket Amel, Trabelsi Maryem
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Derivations in Banach algebras
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 10, Page 579-583, 2002., 2002 We present some conditions which imply that a derivation on a Banach algebra maps the algebra into its Jacobson radical.
Kyoo-Hong Park +2 more
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Putnam‐Fuglede theorem and the range‐kernel orthogonality of derivations
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 9, Page 573-582, 2001., 2001 Let ℬ(H) denote the algebra of operators on a Hilbert space H into itself. Let d = δ or Δ, where δAB : ℬ(H) → ℬ(H) is the generalized derivation δAB(S) = AS − SB and ΔAB : ℬ(H) → ℬ(H) is the elementary operator ΔAB(S) = ASB − S. Given A, B, S ∈ ℬ(H), we say that the pair (A, B) has the property PF(d(S)) if dAB(S) = 0 implies dA∗B∗(S)=0.
B. P. Duggal
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In the present paper we introduce a new class of analytic functions f in the open unit disk normalized by f(0) = f′(0)−1 = 0, associated with exponential functions.
Breaz Daniel +2 more
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Derivations of certain operator algebras
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 5, Page 345-349, 2000., 2000 Let 𝒩 be a nest and let 𝒜 be a subalgebra of L(H) containing all rank one operators of alg 𝒩. We give several conditions under which any derivation δ from 𝒜 into L(H) must be inner. The conditions include (1) H− ≠ H, (2) 0+ ≠ 0, (3) there is a nontrivial projection in 𝒩 which is in 𝒜, and (4) δ is norm continuous. We also give some pplications.
Jiankui Li, Hemant Pendharkar
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Absolute continuity and hyponormal operators
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 2, Page 321-335, 1981., 1981 Let T be a completely hyponormal operator, with the rectangular representation T = A + iB, on a separable Hilbert space. If 0 is not an eigenvalue of T* then T also has a polar factorization T = UP, with U unitary. It is known that A, B and U are all absolutely continuous operators.
C. R. Putnam
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On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are two-dimensional, parabolic, non-linear, diffusion- reaction equations. An implicit finite difference
Juncu Gh., Popa C., Sarbu Gh.
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Once More on Positive Commutators
, 2012 Let A and B be bounded operators on a Banach lattice E such that the commutator C=AB-BA and the product BA are positive operators. If the product AB is a power-compact operator, then C is a quasi-nilpotent operator having a triangularizing chain of ...
Drnovšek, Roman
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Concrete Operators, 2023 Given Banach space operators Si{S}_{i} and Ti{T}_{i}, i=1,2i=1,2, we use elementary properties of the left and right multiplication operators to prove, that if the tensor products pair (S1⊗S2,T1⊗T2)\left({S}_{1}\otimes {S}_{2},{T}_{1}\otimes {T}_{2}) is ...
Duggal Bhagawati Prashad, Kim In Hyoun
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