A maximum problem for operators
A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration
In this paper we prove a maxmin principle for nonlinear nonoverdamped eigenvalue problems corresponding to the characterization of Courant, Fischer and Weyl for linear eigenproblems. We apply it to locate eigenvalues of a rational spectral problem in fluid-solid interaction.
A mean ergodic theorem for a contraction semigroup in Lebesgue space
A mean ergodic theorem for resolvent operators.
A method for a solution of equilibrium problem and fixed point problem of a nonexpansive semigroup in Hilbert's spaces.
A Method for Finding Sharp Error Bounds for Newton's Method Under the Kantorovich Assumptions.
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.