Results 31 to 40 of about 884 (163)

Unbounded Normal Operators on Banach Spaces [PDF]

Transactions of the American Mathematical Society, 1968
Introduction. In this paper a theory of unbounded normal operators on complex Banach spaces is developed which generalizes many features of the classical theory of maximal normal operators on Hilbert spaces. In particular the operators studied are closely related to the unbounded scalar type spectral operators introduced by Bade [1] and to a ...
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On linear operators on ordered banach spaces [PDF]

Bulletin of the Australian Mathematical Society, 1983
The order structure of the space of all continuous linear operators on an ordered Banach space is studied. The main topic is the Robinson property, that is, the norm of a positive linear operator is attained on the positive unit cone.
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Convolution Algebraic Structures Defined by Hardy-Type Operators

Journal of Function Spaces and Applications, 2013
The main aim of this paper is to show that certain Banach spaces, defined via integral kernel operators, are Banach modules (with respect to some known Banach algebras and convolution products on ℝ+).
Pedro J. Miana, Juan J. Royo, Luis Sánchez-Lajusticia   +2 more
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LIFTABLE OPERATORS ON SOME BANACH SPACES

Korean Journal of Mathematics, 2015
Summary: In this paper we show that some operators defined on a Banach space with an unconditional basis and \(L^1(\mu)\) into a Banach space with the RNP have liftable operators.
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Spectral integration and spectral theory for non-Archimedean Banach spaces

International Journal of Mathematics and Mathematical Sciences, 2002
Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators may be nonanalytic. There are different types of Banach spaces over non-Archimedean fields.
S. Ludkovsky, B. Diarra
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An invariant subspace problem for multilinear operators on Banach spaces and algebras

Journal of Inequalities and Applications, 2016
This paper is concerned with the study of invariant subspace problems for nonlinear operators on Banach spaces/algebras. Our study reveals that one faces unprecedented challenges such as lack of vector space structure and unbounded spectral sets when ...
John Emenyu
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Transcendental Operators on a Banach Space

Rocky Mountain Journal of Mathematics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The algebraic size of the family of injective operators

Open Mathematics, 2017
In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators on an infinite dimensional Banach space is provided. As a consequence, it is shown that every separable infinite dimensional Banach
Bernal-González Luis
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Mixed C-Cosine of Continuous Linear Operators on Complex p-Banach Spaces

Pan-American Journal of Mathematics
In the present work, we define and examine the mixed C-cosine families of continuous linear operators on complex p-Banach spaces where 0 p 1. Finally, we will demonstrate several results on the mixed C-cosine families of continuous linear operators on ...
Jawad Ettayb
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Analytic Automorphisms and Transitivity of Analytic Mappings

Mathematics, 2020
In this paper, we investigate analytic automorphisms of complex topological vector spaces and their applications to linear and nonlinear transitive operators.
Zoriana Novosad, Andriy Zagorodnyuk
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