摘要:

The paper continues recent research on the representability of partial morphisms in topological constructs with constants. It contains new characterizations for the fact that this property is inherited by bireflective subcategories. Possibilities and limitations of generalization to topological and monotopological constructs (without constants) are discussed.

ISSN:1607-3606    

DOI:10.1080/16073606.1991.9631619

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

Some of the problems related to the completeness in linear fuzzy neighborhood spaces are investigated. It is shown that if (E, N) is a linear fuzzy neighborhood space, then the spaceÉ = M(E)of all minimal hyper-Cauchy prefilters on (E, N), equipped with a certain linear fuzzy neighborhood structure N, is the unique, up to isomorphism, ultracompletion of (E, N).

ISSN:1607-3606    

DOI:10.1080/16073606.1991.9631620

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

We prove continuous dependence results for parabolic problems in which the coefficients and boundary conditions depend on both space and time. Using semi-groups and fundamental solutions, together with a priori estimates for elliptic boundary value problems, we obtain continuous dependence results with respect to changes in the coefficients of the differential and boundary operators, as well as in the initial conditions.

ISSN:1607-3606    

DOI:10.1080/16073606.1991.9631621

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

We introduce the concepts of weakZ-topology and ultra-weakZ-topology on the spaceL(E,F)of continuous linear functions fromEintoF, whereEandFare locally convex spaces. The dual spaces ofL(E,F)under these topologies are characterized. The ultra-weakZ-topology generalizes the well known ultra-weak topology on the Banach algebraB(H).Alternative characterizations of the above mentioned dual spaces ofL(E, F)are obtained in the Banach space setting. In this case some results on multiplier spaces of Banach spaces are important. We present a partial answer to the question of characterizing absolutely summing multiplier spaces in terms oflpspaces.

ISSN:1607-3606    

DOI:10.1080/16073606.1991.9631622

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

Some diverse details are here added to the wide literature concerning noncommutative generalizations of Dedekind domains.

ISSN:1607-3606    

DOI:10.1080/16073606.1991.9631623

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

We study the minimum modulus for partially defined linear operators between normed spaces, showing how to express it in terms of the modulus of a related bounded operator, and expressing its positivity condition in terms of the range of its adjoint. As an application an index result for relatively open operators under small perturbations is presented as well as a very general characterisation of ø+ type operators.

ISSN:1607-3606    

DOI:10.1080/16073606.1991.9631624

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

The relation between Carleman and semi-Carleman operators is studied and it is shown that Carleman and semi- Carleman operators are mutually dual with respect to the formation of adjoints. This generalizes work of VB Korotkov.

ISSN:1607-3606    

DOI:10.1080/16073606.1991.9631625

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

LetAbe a non-empty bounded subset of a locally convex spaceE.We show that if all the separable subsets ofAare weakly metrisable, then the weak*-compact subsets ofE1satisfy geometrical conditions which are similar to the concept of “dentability” used to characterise the Radon-Nikodý Property in dual Banach spaces.

ISSN:1607-3606    

DOI:10.1080/16073606.1991.9631626

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

We show that ifAandCare torsion-free abelian groups with ∩{kerf|f:A → C}= 0 = ∩{kerg|g:C → A}, and ifAhas a left Artinian quasi-endomorphism ring thenAandCshare a nonzero quasi-summand. Some consequences explored.

ISSN:1607-3606    

DOI:10.1080/16073606.1991.9631627

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

ISSN:1607-3606    

DOI:10.1080/16073606.1991.9631628

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor