Results 21 to 30 of about 53 (53)
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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(r, p)‐absolutely summing operators on the space C (T, X) and applications
Abstract and Applied Analysis, Volume 6, Issue 5, Page 309-315, 2001., 2001 We give necessary and sufficient conditions for an operator on the space C (T, X) to be (r, p)‐absolutely summing. Also we prove that the injective tensor product of an integral operator and an (r, p)‐absolutely summing operator is an (r, p)‐absolutely summing operator.
Dumitru Popa
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Bounded sets in the range of an X∗∗‐valued measure with bounded variation
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 1, Page 21-30, 2000., 2000 Let X be a Banach space and A ⊂ X an absolutely convex, closed, and bounded set. We give some sufficient and necessary conditions in order that A lies in the range of a measure valued in the bidual space X∗∗ and having bounded variation. Among other results, we prove that X∗ is a G.
B. Marchena, C. Piñeiro
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Monotone and convex H*‐algebra valued functions
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 473-479, 1996., 1995 Classical theorems about monotone and convex functions are generalized to the case of H*‐algebra valued functions. Also there are new examples of a vector measure.
Parfeny P. Saworotnow
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Abstract and Applied Analysis, Volume 1, Issue 2, Page 193-201, 1996., 1996 In this paper we discuss several operator ideal properties for so called Carleson embeddings of tent spaces into specific L q(μ)‐spaces, where μ is a Carleson measure on the complex unit disc. Characterizing absolutely q‐summing, absolutely continuous and q‐integral Carleson embeddings in terms of the underlying measure is our main topic. The presented
Helmut J. Heiming
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p‐representable operators in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 653-658, 1986., 1986 Let E and F be Banach spaces. An operator T ∈ L(E, F) is called p‐representable if there exists a finite measure μ on the unit ball, B(E*), of E* and a function g ∈ Lq(μ, F), , such that for all x ∈ E. The object of this paper is to investigate the class of all p‐representable operators.
Roshdi Khalil
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Diagonalization of a self‐adjoint operator acting on a Hilbert module
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 4, Page 669-675, 1985., 1985 For each bounded self‐adjoint operator T on a Hilbert module H over an H*‐algebra A there exists a locally compact space m and a certain A‐valued measure μ such that H is isomorphic to L2(μ) ⊗ A and T corresponds to a multiplication with a continuous function. There is a similar result for a commuting family of normal operators.
Parfeny P. Saworotnow
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Generalized Derivations and Norm Equality in Normed Ideals [PDF]
, 2011 2000 Mathematics Subject Classification: 47A10, 47A12, 47A30, 47B10, 47B20, 47B37, 47B47, 47D50.We compare the norm of a generalized derivation on a Hilbert space with the norm of its restrictions to Schatten norm ...
Barraa, Mohamed
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A simple characterization of the trace‐class of operators
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 2, Page 411-412, 1981., 1981 The trace‐class (τc) of operators on a Hilbert space is characterized in terms of existence of certain centralizers.
Parfeny P. Saworotnow
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On Quasi-Normality of Two-Sided Multiplication [PDF]
, 2009 2000 Mathematics Subject Classification: 47B47, 47B10, 47A30.In this note, we characterize quasi-normality of two-sided multiplication, restricted to a norm ideal and we extend this result, to an important class which contains all quasi-normal operators.
Amouch, M.
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