A new construction of the σ-finite measures associated with submartingales of class (Σ)

new semigroup compactifications via the enveloping semigroups of associated flows

this thesis deals with the construction of some function algebras whose corresponding semigroup compactification are universal with respect to some properies of their enveloping semigroups. the special properties are of beigan a left zero, a left simple, a group, an inflation of the right zero, and an inflation of the rectangular band.

σ-Normality of Topological Spaces

Closed and Σ-finite Measures on the Orthogonal Projections

Let A be a von Neumann algebra acting in a separable complex Hilbert space H and let A be the set of all orthogonal projections (=idempotents) from A. A subset M ⊆ A is said to be ideal of projections if: a) p ≤ q where p ∈ A, q ∈ M ⇒ p ∈ M; b) p, q ∈ M and ‖pq‖ < 1 ⇒ p ∨ q ∈ M; c) sup{p : p ∈ M} = I. Put Mp := {q : q ∈ M, q ≤ p}, ∀p ∈ A . Note that A is the ideal of projections, 0 ∈ Mp, ∀p, an...

a study on construction of iranian life tables: the case study of modified brass logit system

چکیده ندارد.

Σ _1^1 in Every Real in a Σ _1^1 Class of Reals Is Σ _1^1

We …rst prove a theorem about reals (subsets of N) and classes of reals: If a real X is 1 in every member G of a nonempty 1 1 class K of reals then X is itself 1. We also explore the relationship between this theorem, various basis results in hyperarithmetic theory and omitting types theorems in !-logic. We then prove the analog of our …rst theorem for classes of reals: If a class A of reals is...