The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Weighted Convolution Algebras without Bounded Approximate Identities.”

Good weights for weighted convolution algebras

Sandy Grabiner (2010)

Banach Center Publications

Similarity:

Weighted convolution algebras L¹(ω) on R⁺ = [0,∞) have been studied for many years. At first results were proved for continuous weights; and then it was shown that all such results would also hold for properly normalized right continuous weights. For measurable weights, it was shown that one could construct a properly normalized right continuous weight ω' with L¹(ω') = L¹(ω) with an equivalent norm. Thus all algebraic and norm-topology results remained true for measurable weights. We...

Weak* properties of weighted convolution algebras II

Sandy Grabiner (2010)

Studia Mathematica

Similarity:

We show that if ϕ is a continuous homomorphism between weighted convolution algebras on ℝ⁺, then its extension to the corresponding measure algebras is always weak* continuous. A key step in the proof is showing that our earlier result that normalized powers of functions in a convolution algebra on ℝ⁺ go to zero weak* is also true for most measures in the corresponding measure algebra. For some algebras, we can determine precisely which measures have normalized powers converging to zero...