Results 21 to 30 of about 1,164 (138)
The pseudodifferential operator A(x, D)
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 8, Page 407-419, 2004., 2004 The pseudodifferential operator (p.d.o.) A(x, D), associated with the Bessel operator d2/dx2 + (1 − 4μ2)/4x2, is defined. Symbol class Hρ,δm is introduced. It is shown that the p.d.o. associated with a symbol belonging to this class is a continuous linear mapping of the Zemanian space Hμ into itself. An integral representation of p.d.o.
R. S. Pathak, S. Pathak
wiley +1 more source
New norm equalities and inequalities for certain operator matrices
, 2020 We prove new norm equalities and inequalities for general n×n tridiagonal and antitridiagonal operator matrices, including pinching type inequalities for weakly unitarily invariant norms.
Watheq Bani-Domi +2 more
semanticscholar +1 more source
Multiplicative inequalities for weighted arithmetic and harmonic operator means
Acta Universitatis Sapientiae: Mathematica, 2019 In this paper we establish some multiplicative inequalities for weighted arithmetic and harmonic operator means under various assumption for the positive invertible operators A, B.
Dragomir Sever S.
doaj +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In the present paper we introduce a new class of analytic functions f in the open unit disk normalized by f(0) = f′(0)−1 = 0, associated with exponential functions.
Breaz Daniel +2 more
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Some versions of Anderson′s and Maher′s inequalities I
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 52, Page 3281-3297, 2003., 2003 We prove the orthogonality (in the sense of Birkhoff) of the range and the kernel of an important class of elementary operators with respect to the Schatten p‐class.
Salah Mecheri
wiley +1 more source
Some new operator inequalities
, 2020 In this article, we present some new inequalities for positive linear mappings that can be viewed as super multiplicative inequalities. As applications, we deduce some numerical radius inequalities.
M. Sababheh +2 more
semanticscholar +1 more source
Some versions of Anderson′s and Maher′s inequalities II
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 53, Page 3355-3372, 2003., 2003 We are interested in the investigation of the orthogonality (in the sense of Birkhoff) of the range of an elementary operator and its kernel.
Salah Mecheri
wiley +1 more source
, 2020 An inequality for matrices that interpolates between the Cauchy-Schwarz and the arithmetic-geometric mean inequalities for unitarily invariant norms has been obtained by Audenaert. Alakhrass obtained a related result to Audenaert’s inequality using a log-
M. Al-khlyleh, Fadi Alrimawi
semanticscholar +1 more source
Generalized derivation modulo the ideal of all compact operators
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 8, Page 501-506, 2002., 2002 We give some results concerning the orthogonality of the range and the kernel of a generalized derivation modulo the ideal of all compact operators.
Salah Mecheri, Ahmed Bachir
wiley +1 more source
Operator inequalities via geometric convexity
Mathematical Inequalities & Applications, 2019 The main goal of this paper is to present new generalizations of some known inequalities for the numerical radius and unitarily invariant norms of Hilbert space operators.
M. Sababheh, H. Moradi, S. Furuichi
semanticscholar +1 more source