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Displaying 1381 – 1400 of 1952

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On the modulus of measures with values in topological Riesz spaces.

Lech Drewnowski, Witold Wnuk (2002)

Revista Matemática Complutense

The paper is devoted to a study of some aspects of the theory of (topological) Riesz space valued measures. The main topics considered are the following. First, the problem of existence (and, particularly, the so-called proper existence) of the modulus of an order bounded measure, and its relation to a similar problem for the induced integral operator. Second, the question of how properties of such a measure like countable additivity, exhaustivity or so-called absolute exhaustivity, or the properties...

On the Moore-Penrose inverse in C*-algebras.

Enrico Boasso (2006)

Extracta Mathematicae

In this article, two results regarding the Moore-Penrose inverse in the frame of C*-algebras are considered. In first place, a characterization of the so-called reverse order law is given, which provides a solution of a problem posed by M. Mbekhta. On the other hand, Moore-Penrose hermitian elements, that is C*-algebra elements which coincide with their Moore-Penrose inverse, are introduced and studied. In fact, these elements will be fully characterized both in the Hilbert space and in the C*-algebra...

On the non-commutative neutrix product ln x + x + - s

Brian Fisher, Adem Kiliçman, Blagovest Damyanov, J. C. Ault (1996)

Commentationes Mathematicae Universitatis Carolinae

The non-commutative neutrix product of the distributions ln x + and x + - s is proved to exist for s = 1 , 2 , ... and is evaluated for s = 1 , 2 . The existence of the non-commutative neutrix product of the distributions x + - r and x + - s is then deduced for r , s = 1 , 2 , ... and evaluated for r = s = 1 .

On the non-equivalence of rearranged Walsh and trigonometric systems in L p

Aicke Hinrichs, Jörg Wenzel (2003)

Studia Mathematica

We consider the question of whether the trigonometric system can be equivalent to some rearrangement of the Walsh system in L p for some p ≠ 2. We show that this question is closely related to a combinatorial problem. This enables us to prove non-equivalence for a number of rearrangements. Previously this was known for the Walsh-Paley order only.

On the nonexistence of bilipschitz parametrizations and geometric problems about A∞-weights.

Stephen Semmes (1996)

Revista Matemática Iberoamericana

How can one recognize when a metric space is bilipschitz equivalent to an Euclidean space? One should not take the abstraction of metric spaces too seriously here; subsets of Rn are already quite interesting. It is easy to generate geometric conditions which are necessary for bilipschitz equivalence, but it is not clear that such conditions should ever be sufficient. The main point of this paper is that the optimistic conjectures about the existence of bilipschitz parametrizations are wrong. In...

On the non-existence of norms for some algebras of functions

Bertram Yood (1994)

Studia Mathematica

Let C(Ω) be the algebra of all complex-valued continuous functions on a topological space Ω where C(Ω) contains unbounded functions. First it is shown that C(Ω) cannot have a Banach algebra norm. Then it is shown that, for certain Ω, C(Ω) cannot possess an (incomplete) normed algebra norm. In particular, this is so for Ω = n where ℝ is the reals.

Currently displaying 1381 – 1400 of 1952