Results 1 to 10 of about 9,060 (265)

Semigroups of Unbounded Linear Operators in Banach Space [PDF]

Transactions of the American Mathematical Society, 1977
One-parameter families of unbounded linear operators acting in a Banach space X, and satisfying the semigroup and strong continuity properties on a suitable subspace of X, are discussed; the notion of infinitesimal generator is generalized to this unbounded setting, and a HilleYosida-type theorem is proved. The theory is illustrated by several examples,
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Approximation on a class of Szász–Mirakyan operators via second kind of beta operators

Journal of Inequalities and Applications, 2020
In the present article, we construct a new sequence of positive linear operators via Dunkl analogue of modified Szász–Durrmeyer operators. We study the moments and basic results.
M. Nasiruzzaman, Nadeem Rao, Anshul Srivastava, Ravi Kumar   +3 more
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Pseudospectra of the direct sum of linear operators in ultrametric Banach spaces

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper, a characterization of essential pseudospectra of bounded linear operators on ultrametric Banach spaces over a spherically complete field was given and the notions of pseudospectra and condition pseudospectra of the direct sum of linear ...
J. Ettayb
doaj   +1 more source

Generalization of Szász–Mirakjan–Kantorovich operators using multiple Appell polynomials

Journal of Inequalities and Applications, 2020
The purpose of the present paper is to introduce and study a sequence of positive linear operators defined on suitable spaces of measurable functions on [ 0 , ∞ ) $[0,\infty )$ and continuous function spaces with polynomial weights.
Chetan Swarup, Pooja Gupta, Ramu Dubey, Vishnu Narayan Mishra   +3 more
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A Dichotomy for Linear Spaces of Toeplitz Operators

Journal of Functional Analysis, 1998
For a Hilbert space \(H\), \(B(H)\) denotes the algebra of all bounded linear operators on \(H\); and the reflexive closure of a subspace \(S\) in \(B(H)\) is defined by: \[ \text{ref}(S)= \{T\in B(H); T(f)\in\overline{S(f)}, \forall f\in H\}. \] \(S\) is said to be reflexive if \(\text{ref}(S)= S\), and transitive if \(\text{ref}(S)= B(H)\).
Azoff, Edward A, Ptak, Marek
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Linear Maps that Preserve Any Two Term Ranks on Matrix Spaces over Anti-Negative Semirings

Mathematics, 2020
There are many characterizations of linear operators from various matrix spaces into themselves which preserve term rank. In this research, we characterize the linear maps which preserve any two term ranks between different matrix spaces over anti ...
Kyung Tae Kang, Seok-Zun Song, Young Bae Jun   +2 more
doaj   +1 more source

Approximation of Linear Operators on a Weiner Space

Rocky Mountain Journal of Mathematics, 1986
We study optimal algorithms and optimal information in an average case model for linear problems in a Wiener space. We show that a linear algorithm is optimal among all algorithms. We illustrate the theory by interpolation, integration and approximation. We prove that adaption does not help.
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Spaces generated by the cone of sublinear operators

Karpatsʹkì Matematičnì Publìkacìï, 2018
This paper deals with a study on classes of non linear operators. Let $SL(X,Y)$ be the set of all sublinear operators between two Riesz spaces $X$ and $Y$. It is a convex cone of the space $H(X,Y)$ of all positively homogeneous operators.
A. Slimane
doaj   +1 more source

Properties of Fuzzy Closed Linear Operator [PDF]

Engineering and Technology Journal, 2019
In this paper we recall the definition of fuzzy norm of a fuzzy bounded linear operator and the fuzzy convergence of sequence of fuzzy bounded linear operators in order to prove the uniform fuzzy bounded theorem and fuzzy open mapping theorem.
Jehad Kider, Noor Kadhum
doaj   +1 more source

Weak Compactness of Multiplication Operators on Spaces of Bounded Linear Operators.

MATHEMATICA SCANDINAVICA, 1992
Let \(E\) be a Banach space and let \(A\) and \(B\) be bounded operators on \(E\). This paper studies the problem of the weak compactness of the linear multiplication operator \(A\wedge B: S\mapsto BSA\) from \(L(E)\) into \(L(E)\) (\(A,B\neq 0\)).
Saksman, Eero, Tylli, Hans-Olav
openaire   +3 more sources