Add to ORKGAbstract Let A(k)u(k) = f(k)(1) be an operator equation, X and Y are Banach spaces, k ∈ ∆ ⊂ C is a parameter, A(k) : X → Y is a map, possibly nonlinear. Sufficient conditions are given for continuity of u(k) with respect to k. Necessary and sufficient conditions are given for the continuity of u(k) with respect to k in the case of linear operators A(k)
et X be a Banach space. A one parameter family S(t) (t ≥ 0) of bounded linear operators on X is a st...
In this article, various definitions of contuity of multilinear operators on normed linear spaces ar...
A mapping α from a normed space X into itself is called a Banach operator if there is a constant k s...
The purpose of this paper is to extend the results of an earlier paper [5] which dealt with the exis...
In this talk nonlinear operator equations of the form F (x) = 0 (1) are considered. We formulate su...
For any bounded linear operator A in a Banach space, two generalized condition numbers N.A / and O.A...
Abstract. A mapping α from a normed space X into itself is called a Banach operator if there is a co...
ABSTRACT. Let L: H _ dom(L)- • H be a linear, self-adjoint operator in a Hilbert space H, T: X- • [H...
We examine the solvability of multilinear equations of the formMk(x,x,…,x)−k times−=y, k=2,3,…wh...
This classic work by the late Stefan Banach has been translated into English so as to reach a yet wi...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
summary:The properties of solutions of the nonlinear differential equation $x'=A(s)x+f(s,x)$ in a Ba...
Using the notion of a Banach operator, we have obtained a decompositional property of a Hilbert spac...
This classic work by the late Stefan Banach has been translated into English so as to reach a yet wi...
AbstractThis paper considers the description and determination of the fixed points of compact, conti...
et X be a Banach space. A one parameter family S(t) (t ≥ 0) of bounded linear operators on X is a st...
In this article, various definitions of contuity of multilinear operators on normed linear spaces ar...
A mapping α from a normed space X into itself is called a Banach operator if there is a constant k s...
The purpose of this paper is to extend the results of an earlier paper [5] which dealt with the exis...
In this talk nonlinear operator equations of the form F (x) = 0 (1) are considered. We formulate su...
For any bounded linear operator A in a Banach space, two generalized condition numbers N.A / and O.A...
Abstract. A mapping α from a normed space X into itself is called a Banach operator if there is a co...
ABSTRACT. Let L: H _ dom(L)- • H be a linear, self-adjoint operator in a Hilbert space H, T: X- • [H...
We examine the solvability of multilinear equations of the formMk(x,x,…,x)−k times−=y, k=2,3,…wh...
This classic work by the late Stefan Banach has been translated into English so as to reach a yet wi...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
summary:The properties of solutions of the nonlinear differential equation $x'=A(s)x+f(s,x)$ in a Ba...
Using the notion of a Banach operator, we have obtained a decompositional property of a Hilbert spac...
This classic work by the late Stefan Banach has been translated into English so as to reach a yet wi...
AbstractThis paper considers the description and determination of the fixed points of compact, conti...
et X be a Banach space. A one parameter family S(t) (t ≥ 0) of bounded linear operators on X is a st...
In this article, various definitions of contuity of multilinear operators on normed linear spaces ar...
A mapping α from a normed space X into itself is called a Banach operator if there is a constant k s...