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Fuzzy bounded linear operators
Fuzzy Sets and Systems, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S K Samanta, T Bag
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A spectrum theorem for perturbed bounded linear operators
Applied Mathematics and Computation, 2008The authors prove the following Theorem. Let \(X,Y\) be vector spaces and \(T:D(T)\subset X\to X\), \(U:D(U)\subset Y\to X\), \(V:D(V)\subset X\to Y\) be linear operators such that \(D(T)\subset D(V)\) and \(R(V)\subset D(U)\). Supposing that \(T\) is one-to-one and onto, the linear operator \(T+UV: D(T)\subset X\to X\) is one-to-one and onto if and ...
Jiu Ding, Aihui Zhou
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Property (R) for Bounded Linear Operators
Mediterranean Journal of Mathematics, 2011The authors continue their study of Weyl type theorems and related properties for bounded linear operators on complex Banach spaces. In the paper under review, they introduce and study a new related property, called \((R)\). They characterize this property in several ways and describe its relationships with variants of the classical Weyl's theorem ...
AIENA, Pietro, Guillen, J, Pena, P.
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Γ-inverses of bounded linear operators
Acta Mathematica Sinica, English Series, 2013Let \(\mathcal H\) be a Hilbert space and \(A,P,Q\) be bounded linear operators on \(\mathcal H\). If there exists a bounded linear operator \(X\) on \(\mathcal H\) such that \(APXQA=A\), \(XQAPX=X\), \((QAPX)^*=QAPX\) and \((XQAP)^*=XQAP\), then \(X\) is called the \(\Gamma\)-inverse of \(A\) associated with \(P\) and \(Q\) and is denoted by \(A ...
Xu, Xiao Ming +2 more
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Real Powers of Bounded Linear Operators
International Journal of Applied and Computational Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sebastian, Sabu, Kumar, Kiran
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Property (Sw) for bounded linear operators
Asian-European Journal of Mathematics, 2015In this paper, we define new variant of Weyl type theorems property (Sw) and the Browder version of property (Sw). We also obtain the inclusion relation among these new properties.
Rashid, M. H. M., Prasad, T.
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2003
The first section gives several characterizations of bounded linear operators and proves that a symmetric operator whose domain is the whole Hilbert space is actually bounded (Hellinger-Toeplitz theorem). Several concrete examples of bounded linear operators in Hilbert spaces are discussed in the second section. In Section 3 the vector space \(\mathcal{
Philippe Blanchard, Erwin Brüning
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The first section gives several characterizations of bounded linear operators and proves that a symmetric operator whose domain is the whole Hilbert space is actually bounded (Hellinger-Toeplitz theorem). Several concrete examples of bounded linear operators in Hilbert spaces are discussed in the second section. In Section 3 the vector space \(\mathcal{
Philippe Blanchard, Erwin Brüning
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On Certain Classes of Bounded Linear Operators
Canadian Mathematical Bulletin, 1970Let T—c be a Fredholm operator, where T is a bounded linear operator on a complex Banach space and c is a scalar, the set of all such scalars is called the Φ-set of T [2] and was studied by many authors. In this connection, the purpose of the present paper is to investigate some classes Φ(V) of all such operators for any subset V of the complex plane ...
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2011
A linear operator A on a Hilbert space X is said to be a bounded linear operator on X if there exists a positive constant C such that $$||A_x|| \geq C||x||,\quad x \in X.$$
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A linear operator A on a Hilbert space X is said to be a bounded linear operator on X if there exists a positive constant C such that $$||A_x|| \geq C||x||,\quad x \in X.$$
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