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Start Over Subject compact operator

1. Boundary value problem for differential inclusions in Fréchet spaces with multiple solutions of the homogeneous problem

Creator:
Benedetti, Irene, Malaguti, Luisa, and Taddei, Valentina
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
multivalued boundary value problem, differential inclusion in Banach space, compact operator, and fixed point theorem
Language:
English
Description:
The paper deals with the multivalued boundary value problem x ′ ∈ A(t,x)x + F(t,x) for a.a. t ∈ [a, b], Mx(a) + Nx(b) = 0, in a separable, reflexive Banach space E. The nonlinearity F is weakly upper semicontinuous in x. We prove the existence of global solutions in the Sobolev space W1,p([a, b], E) with 1 < p < ∞ endowed with the weak topology. We consider the case of multiple solutions of the associated homogeneous linearized problem. An example completes the discussion.
Rights:
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2. Cesàro wedge and weak Cesàro wedge $FK$-spaces

Creator:
Ince, H. G.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
$FK$-space, wedge $FK$-space, weak wedge $FK$-space, compact operator, and matrix mapping
Language:
English
Description:
In this paper we deal with Cesàro wedge and weak Cesàro wedge $FK$-spaces, and give several characterizations. Some applications of these spaces to general summability domains are also studied.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. Composition operators on Musielak-Orlicz spaces of Bochner type

Creator:
Raj, Kuldip and Sharma, Sunil K.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Orlicz space, Musielak-Orlicz space, Musielak-Orlicz space of Bochner type, composition operator, invertible operator, compact operator, closed range, and isometry and Fredholm operator
Language:
English
Description:
The invertible, closed range, compact, Fredholm and isometric composition operators on Musielak-Orlicz spaces of Bochner type are characterized in the paper.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

4. Further properties of Azimi-Hagler Banach spaces

Creator:
Azimi, Parviz and Khodabakhshian, H.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Banach spaces, compact operator, and asymptotic isometric copy of $\ell _1$
Language:
English
Description:
For the Azimi-Hagler spaces more geometric and topological properties are investigated. Any constructed space is denoted by $X_{\alpha,p}$. We show \item {(i)} The subspace $[(e_{n_k})]$ generated by a subsequence $(e_{n_k})$ of $(e_n)$ is complemented. \item {(ii)} The identity operator from $X_{\alpha,p}$ to $X_{\alpha,q}$ when $p>q$ is unbounded. \item {(iii)} Every bounded linear operator on some subspace of $X_{\alpha,p}$ is compact. It is known that if any $X_{\alpha,p}$ is a dual space, then \item {(iv)} duals of $X_{\alpha,1}$ spaces contain isometric copies of $\ell _{\infty }$ and their preduals contain asymptotically isometric copies of $c_0$. \item {(v)} We investigate the properties of the operators from $X_{\alpha,p}$ spaces to their predual.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

5. Numerical range of operators acting on Banach spaces

Creator:
Jahedi, Khadijeh and Yousefi, Bahmann
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
numerical range, weighted Hardy space, compact operator, and composition operator
Language:
English
Description:
The aim of the paper is to propose a definition of numerical range of an operator on reflexive Banach spaces. Under this definition the numerical range will possess the basic properties of a canonical numerical range. We will determine necessary and sufficient conditions under which the numerical range of a composition operator on a weighted Hardy space is closed. We will also give some necessary conditions to show that when the closure of the numerical range of a composition operator on a small weighted Hardy space has zero.
Rights:
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6. On the equality between some classes of operators on Banach lattices

Creator:
Aqzzouz, Belmesnaoui, Elbour, Aziz, and Moussa, Mohammed
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
M-weakly compact operator, L-weakly compact operator, Dunford-Pettis operator, weakly compact operator, semi-compact operator, compact operator, order continuous norm, discrete Banach lattice, and positive Schur property
Language:
English
Description:
We establish some sufficient conditions under which the subspaces of Dunford-Pettis operators, of M-weakly compact operators, of L-weakly compact operators, of weakly compact operators, of semi-compact operators and of compact operators coincide and we give some consequences.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public