Results 221 to 230 of about 5,611 (266)
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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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Fuzzy bounded linear operators
Fuzzy Sets and Systems, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bag, T., Samanta, S. K.
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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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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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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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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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Bounded and Unbounded Linear Operators
2011This chapter is devoted to the basic material on operator theory, semigroups, evolution familites, interpolation spaces, fractional powers of operators, intermediate spaces, and their basic properties needed in the sequel. Various illustrative examples are discussed in-depth. The estimates in Lemma 2.2 (Diagana et al. [52]) and Lemma 2.4 (Diagana [62])
Paul H. Bezandry, Toka Diagana
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Representation of Bounded Linear Operators
2013In this final chapter we make a start on the difficult problem of representing linear maps (between Banach spaces) that are merely bounded. The magnitude of the task is underscored by the fact that even in a Hilbert space context, really satisfactory results are available only for normal operators. Moreover, the methods used in the spectral analysis of
David E. Edmunds, W. Desmond Evans
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INTUITIONISTIC FUZZY BOUNDED LINEAR OPERATORS
2007The object of this paper is to introduce the notion of intuitionistic fuzzy continuous mappings and intuitionistic fuzzy bounded linear operators from one intuitionistic fuzzy n-normed linear space to another. Relation be- tween intuitionistic fuzzy continuity and intuitionistic fuzzy bounded linear operators are studied and some interesting results ...
Vijayabalaji, S., Thillaigovindan, N.
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