We give a characterization of elements of a subspace of a complex Banach space with the property that the norm of a bounded linear functional on the subspace is attained at those elements. In particular, we discuss properties of polynomials that are extremal in sharp pointwise Nikol'skii inequalities for algebraic polynomials in a weighted \(L_q\)-space on a finite or infinite interval
AbstractWe show that there exist infinite-dimensional extremely non-complex Banach spaces, i.e. spac...
We study the Nikol'skii type inequality for algebraic polynomials on the half-line [0,∞) between the...
AbstractWe study the zero location and asymptotic zero distribution of sequences of polynomials whic...
We give a characterization of elements of a subspace of a complex Banach space with the property tha...
AbstractLet A be a Banach algebra, F a compact set in the complex plane, and h a function holomorphi...
AbstractLet A be a Banach algebra, F a compact set in the complex plane, and h a function holomorphi...
AbstractA strongly unique best approximation m in a finite-dimensional subspace M of a real normed l...
AbstractLet C(K,C) be the Banach space of all complex-valued continuous functions on a compact Hausd...
AbstractGiven a 2-homogeneous polynomialP(x,y)=ax2+by2+cxywith real coefficients, let ‖P‖rand ‖P‖cde...
Abstract. We study inequalities connecting a product of uniform norms of polynomials with the norm o...
AbstractWe consider the question: When is the inverse of a Hilbert space operator the limit (in the ...
enote by P n, n∈N the linear space of real polynomials p of degree at most n. There are various ways...
12 pages, no figures.-- MSC2000 codes: 30E15, 41A60.Zbl#: Zbl 1084.30043We study the zero location a...
12 pages, no figures.-- MSC2000 codes: 30E15, 41A60.Zbl#: Zbl 1084.30043We study the zero location a...
12 pages, no figures.-- MSC2000 codes: 30E15, 41A60.Zbl#: Zbl 1084.30043We study the zero location a...
AbstractWe show that there exist infinite-dimensional extremely non-complex Banach spaces, i.e. spac...
We study the Nikol'skii type inequality for algebraic polynomials on the half-line [0,∞) between the...
AbstractWe study the zero location and asymptotic zero distribution of sequences of polynomials whic...
We give a characterization of elements of a subspace of a complex Banach space with the property tha...
AbstractLet A be a Banach algebra, F a compact set in the complex plane, and h a function holomorphi...
AbstractLet A be a Banach algebra, F a compact set in the complex plane, and h a function holomorphi...
AbstractA strongly unique best approximation m in a finite-dimensional subspace M of a real normed l...
AbstractLet C(K,C) be the Banach space of all complex-valued continuous functions on a compact Hausd...
AbstractGiven a 2-homogeneous polynomialP(x,y)=ax2+by2+cxywith real coefficients, let ‖P‖rand ‖P‖cde...
Abstract. We study inequalities connecting a product of uniform norms of polynomials with the norm o...
AbstractWe consider the question: When is the inverse of a Hilbert space operator the limit (in the ...
enote by P n, n∈N the linear space of real polynomials p of degree at most n. There are various ways...
12 pages, no figures.-- MSC2000 codes: 30E15, 41A60.Zbl#: Zbl 1084.30043We study the zero location a...
12 pages, no figures.-- MSC2000 codes: 30E15, 41A60.Zbl#: Zbl 1084.30043We study the zero location a...
12 pages, no figures.-- MSC2000 codes: 30E15, 41A60.Zbl#: Zbl 1084.30043We study the zero location a...
AbstractWe show that there exist infinite-dimensional extremely non-complex Banach spaces, i.e. spac...
We study the Nikol'skii type inequality for algebraic polynomials on the half-line [0,∞) between the...
AbstractWe study the zero location and asymptotic zero distribution of sequences of polynomials whic...