[PDF] Top 20 More Results on Singular Value Inequalities for Compact Operators
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More Results on Singular Value Inequalities for Compact Operators
... Remark 5. From equivalence of inequalities (1.4) and (1.7) in Theorem 2.4, and equivalence of the inequalities (1.1), (1.2), (1.3), (1.4), (1.5), and (1.6) in Remark 3, we get that the inequalities ... See full document
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Some results on singular value inequalities of compact operators in Hilbert space
... all operators T in the norm ideal associated with ||| · ||| and for all unitary operators U and V in ...a compact operator A is defined by k A k p = (tr | A | p ) 1/p , ... See full document
14
Quasi-Compact Perturbations of the Weyl Essential Spectrum and Application to Singular Transport Operators
... quasi-compact operators. In the last Section we apply the results obtained in the second section to investigate the Weyl essential spectrum of the following singular neutron transport ... See full document
7
Applications of Arithmetic Geometric Mean Inequality
... for singular values, due to Bhatia and Kittaneh, is one of the most important singular value in- equalities for compact ...new singular value inequalities for ... See full document
9
Nontrivial solutions to boundary value problem with general singular differential operator
... be singular at t = , , which means that the differential operator in the equation of problem ...is more general than the classic Sturm-Liouville differential operator where a, b ∈ C[, ] are ...of ... See full document
14
Evolutionary Variational Inequalities with Volterra Type Operators
... variational inequalities (subdifferential inclusions) with Volterra type ...The results are achieved using the Banach’s fixed point theorem (the principle of compression ...variational inequalities ... See full document
9
Joint Inversion of Compact Operators
... The operators are based on combining Green’s function solutions to differential equations representing different types of ...Joint operators are formed by extend- ing the concept of stacking matrices to one ... See full document
61
Generalized Norms Inequalities for Absolute Value Operators
... norm inequalities for the Schatten p-norm Schatten p-norm for absolute value operators are discussed in this ...these results refine some of the results in Section 2 and also, our first ... See full document
9
More results on generalized singular number inequalities of τ measurable operators
... whenever ≤ x ∈ M and f is non-negative Borel function which is bounded on a neigh- borhood of and satisfies f () = . See [, ] for basic properties and detailed informa- tion on the generalized singular ... See full document
13
A note on certain integrals along polynomial compound curves
... type inequalities related to the parametric Marcinkiewicz integral operators and maximal operators related to singular integrals along polynomial compound curves in ...main results and ... See full document
16
Singular Value Inequalities for Compact Normal Operators
... the inequalities (1.6) and (2.6) says that the singular value of the addition or subtraction of the Cartesian decomposition for the normal operator di- vided by ... See full document
5
Some Inequalities for Commutators of Bounded Linear Operators in Hilbert Spaces
... linear operators A and B is the operator AB ...two operators A and B, by using the triangle inequality and the submultiplicativity of the norm, one can state the following ... See full document
10
Some Inequalities for a Singular Integral
... The main aim of this paper is to point out various estimates for I p ( f ) using an approach which employs the removal of the singularity and the utilisation of the trapezoidal rule.. So[r] ... See full document
8
22. Compact Multiplication Operators on Nonlocally Convex Weighted Spaces of Continuous Functions
... these operators on spaces of analytic ...these operators on weighted spaces of continu- ous functions has been made by Singh and Manhas [36, 37, 38, 39, 40] , Manhas and Singh [24] , Manhas [21, 22, 23] , ... See full document
9
Schatten's theorems on functionally defined Schur algebras
... the compact operators, the trace- class operators, and the decomposition of the dual of the algebra of bounded operators on a Hilbert space have been extended to the setting of matrices of ... See full document
19
Some results on entire functions that share one value with their difference operators
... In this paper, we give some results on entire functions that share one value with their difference operators. In particular, we prove the following result, which can be regarded as a difference ... See full document
12
Trace Inequalities of Lipschitz Type for Power Series of Operators on Hilbert Spaces
... the interval [0, R) and since the function ψ(t) := ∥ (1 − t)T + tV ∥ is convex on [0, 1] we have that f a ′ ◦ ψ is also convex on [0, 1]. Utilising the Hermite- Hadamard inequality for convex functions (see for instance ... See full document
30
Exponential inequalities for a class of operators
... the weight functions u and v—namely (1.7)—for which the exponential-logarithmic inequality (1.8) is satisfied. The novelty here is that (1.8) implies (1.7) for all operators K whose kernel satisfy the easily ... See full document
8
Refinements of some $2D$ nonlinear integral inequalities and applications in fractional integral equations
... parabolic partial differential equations (see [4, 11]) as the well known Gronwall inequality in the theory of ordinary differ- ential equations.Ye et al. [5] proved a generalization of this type of inequalities ... See full document
8
Applications of Kato’s inequality for n tuples of operators in Hilbert spaces, (II)
... above results, we establish in this paper more inequalities for n-tuples of bounded linear operators that can be obtained from Kato’s result ...normal operators defined by power series ... See full document
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