Inhomogeneous linear differential equations in Banach spaces
Miroslav Sova (1978)
Časopis pro pěstování matematiky
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Miroslav Sova (1978)
Časopis pro pěstování matematiky
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Irina Krasikova, Miguel Martín, Javier Merí, Vladimir Mykhaylyuk, Mikhail Popov (2009)
Open Mathematics
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It is known that there is a continuous linear functional on L ∞ which is not narrow. On the other hand, every order-to-norm continuous AM-compact operator from L ∞(μ) to a Banach space is narrow. We study order-to-norm continuous operators acting from L ∞(μ) with a finite atomless measure μ to a Banach space. One of our main results asserts that every order-to-norm continuous operator from L ∞(μ) to c 0(Γ) is narrow while not every such an operator is AM-compact.
Saworotnow, Parfeny P. (1981)
International Journal of Mathematics and Mathematical Sciences
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Muneo Chō, Tadasi Huruya (2004)
Studia Mathematica
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The purpose of this paper is to introduce mosaics and principal functions of p-hyponormal operators and give a trace formula. Also we introduce p-nearly normal operators and give trace formulae for them.
Milutin Dostanić (1993)
Publications de l'Institut Mathématique
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Salah Mecheri (2015)
Colloquium Mathematicae
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Let A ∈ B(H) and B ∈ B(K). We say that A and B satisfy the Fuglede-Putnam theorem if AX = XB for some X ∈ B(K,H) implies A*X = XB*. Patel et al. (2006) showed that the Fuglede-Putnam theorem holds for class A(s,t) operators with s + t < 1 and they mentioned that the case s = t = 1 is still an open problem. In the present article we give a partial positive answer to this problem. We show that if A ∈ B(H) is a class A operator with reducing kernel and B* ∈ B(K) is a class 𝓨 operator,...
A. Grothendieck (1961)
Studia Mathematica
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Jakubassa-Amundsen, D.H. (2005)
Documenta Mathematica
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Ryszard Jajte, Richard Loebl (1981)
Studia Mathematica
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Bouali, S., Ech-chad, M. (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary: 47B47, 47B10; secondary 47A30. Let H be an infinite-dimensional complex Hilbert space and let A, B ∈ L(H), where L(H) is the algebra of operators on H into itself. Let δAB: L(H) → L(H) denote the generalized derivation δAB(X) = AX − XB. This note will initiate a study on the class of pairs (A,B) such that [‾(R(δAB))] = [‾(R(δB*A*))]; i.e. [‾(R(δAB))] is self-adjoint.
Jocić, Danko R. (1997)
Matematichki Vesnik
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