Results 21 to 30 of about 884 (163)

Existence of solutions of impulsive boundary value problems for singular fractional differential systems [PDF]

open access: yesMathematica Bohemica, 2017
A class of impulsive boundary value problems of fractional differential systems is studied. Banach spaces are constructed and nonlinear operators defined on these Banach spaces. Sufficient conditions are given for the existence of solutions of this class
Yuji Liu
doaj   +1 more source

Invertible Operators on Certain Banach Spaces [PDF]

open access: yesCanadian Mathematical Bulletin, 1977
It has long been the practice in the theory of Hilbert spaces to use the Fourier series expansion (i.e. the Levy inversion formula) for the resolution of the identity associated with a unitary operator to obtain results for this operator, and hence for any power bounded invertible operator on such spaces since they are necessarily isomorphic to unitary
openaire   +1 more source

Factorization of Operators on Banach Space [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
In this paper it is shown that if D D and E E are continuous linear operators on a Banach space X X , then the following are equivalent: (i) B B is a right factor of A A , (ii) B B majorizes A A and (iii) the range of
openaire   +1 more source

Paranormal operators on Banach spaces [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1980
In this note we show that a paranormal operator T on a Banach space satisfies Weyl's theorem. This is accomplished by showing that(i) every isolated point of its spectrum is an eigenvalue and the corresponding eigenspace has invariant complement,(ii) for α ≠ 0, Ker(T-α) ⊥ Ker (T-β) (in the sense of Birkhoff) whenever β ≠ α.
Chourasia, N. N., Ramanujan, P. B.
openaire   +2 more sources

Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
Let V be an arbitrary system of weights on an open connected subset G of ℂN(N≥1) and let B(E) be the Banach algebra of all bounded linear operators on a Banach space E.
J. S. Manhas
doaj   +1 more source

Pseudospectra of the direct sum of linear operators in ultrametric Banach spaces

open access: yesҚарағанды 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

A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces

open access: yesAbstract and Applied Analysis, 2012
By introducing the concept of L-limited sets and then L-limited Banach spaces, we obtain some characterizations of it with respect to some well-known geometric properties of Banach spaces, such as Grothendieck property, Gelfand-Phillips property, and ...
M. Salimi, S. M. Moshtaghioun
doaj   +1 more source

Hypercyclic operators on Lipschitz spaces [PDF]

open access: yesМатематичні Студії, 2013
We consider hypercyclic operators on free Banach spaces and little Lipschitz spaces which are some kind of generalizations of shift operators and composition operators respectively.
M. V. Dubey   +2 more
doaj  

Banach Lattice Structures and Concavifications in Banach Spaces

open access: yesMathematics, 2020
Let ( Ω , Σ , μ ) be a finite measure space and consider a Banach function space Y ( μ ) . We say that a Banach space E is representable by Y ( μ ) if there is a continuous bijection I : Y ( μ ...
Lucia Agud   +3 more
doaj   +1 more source

Accessible operators on ultraproducts of Banach spaces

open access: yesExtracta Mathematicae
We address a question by Henry Towsner about the possibility of representing linear operators between ultraproducts of Banach spaces by means of ultraproducts of nonlinear maps.
Félix Cabello Sánchez
doaj   +1 more source

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