Results 31 to 40 of about 455 (108)
Absolute continuity and hyponormal operators
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
wiley +1 more source
On k-quasi-M-hyponormal operators
In this present article we introduce a new class of operators which we will be called the class of k -quasi-M -hyponormal operators that includes hyponormal an M -hyponormal operators.
S. Mécheri
semanticscholar +1 more source
On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems
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.
doaj +1 more source
Two-Local derivations on associative and Jordan matrix rings over commutative rings [PDF]
In the present paper we prove that every 2-local inner derivation on the matrix ring over a commutative ring is an inner derivation and every derivation on an associative ring has an extension to a derivation on the matrix ring over this associative ring.
arxiv +1 more source
A bound for the Hilbert-Schmidt norm of generalized commutators of nonself-adjoint operators
Let A, à and B be bounded linear operators in a Hilbert space, and f (z) be a function regular on the convex hull of the union of the spectra of A and à . Let SN2 be the ideal of Hilbert-Schmidt operators.
M. Gil'
semanticscholar +1 more source
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
doaj +1 more source
A Benchmark Generalization of Fuzzy Soft Ideals in Ordered Semigroups
In real life, variability and inaccuracy are always presentand must be calculated by either possibilistic, probabilistic, polymorphic or other uncertainty approach. This benchmark study is about to construct new types of fuzzy soft ideals i.e., (∈, ∈ ∨qk)
Khan Faiz Muhammad+3 more
doaj +1 more source
Nilpotent elements of operator ideals as single commutators [PDF]
For an arbitrary operator ideal I, every nilpotent element of I is a single commutator of operators from I^t, for an exponent t that depends on the degree of nilpotency.
arxiv +1 more source
A NOTE ON P-SYMMETRIC OPERATORS
Let L(H) denote the algebra of operators on a complex infinite dimensional Hilbert space H into itself. In this paper, we study the class of operators A ∈ L(H) which satisfy the following property, AT = TA implies AT ∗ = T ∗A for all T ∈ C1(H) (trace ...
S. Bouali+3 more
semanticscholar +1 more source
m-isometric generalised derivations
Given Banach space operators Ai, Bi (i = 1, 2), let δi denote (the generalised derivation) δi(X) = (LAi − RBi )(X) = AiX − XBi. If 0 ∈ σa(Bi), i = 1, 2, and if Δδ1,δ2n(I)=(Lδ1Rδ1-I)n(I)=0\Delta _{{\delta _1},\delta 2}^n\left( I \right) = {\left( {{L_ ...
Duggal B.P., Kim I.H.
doaj +1 more source