A method of approximate factorization of positive definite matrix functions
An algorithm of factorization of positive definite matrix functions of second order is proposed.
A metric on the space of projections admitting nice isometries
Motivated by the concept of separation between propositions in quantum logic, we introduce the so-called separation metric or Santos metric on the space of all projections in a Hilbert space. We show that the resulting metric space has only "nice" surjective isometries. On the nontrivial projections they are all unitarily or antiunitarily equivalent to the identity or to taking the orthogonal complement. We relate this result to Wigner's classical theorem on the form of quantum mechanical symmetry...
A minimax inequality for a class of functionals and applications to the existence of solutions for two-point boundary-value problems.
A minimax inequality with applications to existence of equilibrium point and fixed point theorems
Ky Fan’s minimax inequality [8, Theorem 1] has become a versatile tool in nonlinear and convex analysis. In this paper, we shall first obtain a minimax inequality which generalizes those generalizations of Ky Fan’s minimax inequality due to Allen [1], Yen [18], Tan [16], Bae Kim Tan [3] and Fan himself [9]. Several equivalent forms are then formulated and one of them, the maximal element version, is used to obtain a fixed point theorem which in turn is applied to obtain an existence theorem of an...
A minimax principle for eigenvalues in spectral gaps: Dirac operators with Coulomb potentials.
A minimization theorem in quasi-metric spaces and its applications.
A Minkowski-type inequality for the Schatten norm.
A model for some analytic Toeplitz operators
We present a change of variable method and use it to prove the equivalence to bundle shifts for certain analytic Toeplitz operators on the Banach spaces . In Section 2 we see this approach applied in the analysis of essential spectra. Some partial results were obtained in [9] in the Hilbert space case.
A model for Toepliz operators in the space of entire functions of exponential type
A model of atomic radiation
A modification of Newton's method
A modification of the Kantorovich conditions for the secant method.
A modified iterative process for common fixed points of two finite families of nonexpansive mappings.
A modular convergence theorem for certain nonlinear integral operators with homogeneous kernel.
A modulus for property (β) of Rolewicz
We define a modulus for the property (β) of Rolewicz and study some useful properties in fixed point theory for nonexpansive mappings. Moreover, we calculate this modulus in spaces for the main measures of noncompactness.
A moment sequence in the q-world
The aim of the paper is to present some initial results about a possible generalization of moment sequences to a so-called q-calculus. A characterization of such a q-analogue in terms of appropriate positivity conditions is also investigated. Using the result due to Maserick and Szafraniec, we adapt a classical description of Hausdorff moment sequences in terms of positive definiteness and complete monotonicity to the q-situation. This makes a link between q-positive definiteness and q-complete...
A monotone convergence theorem for Newton-like methods using hypotheses on divided differences of order two.
A Monotone Operator Method for the Solution of Fredholm Integral Equations.
-monotonicity and applications to nonlinear variational inclusion problems.
A Morse lemma at infinity for Yamabe type problems on domains