36 citations · 47 across the 8 of their papers we have counts for
10 papers
Spectral Theory for Non-full Commutative C*-categories
Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul +1
We extend the spectral theory of commutative C*-categories to the non full-case, introducing a suitable notion of spectral spaceoid provinding a duality between a category of "non-…
Clifford Algebra-valued Segal-Bargmann Transform and Taylor Isomorphism
Sorawit Eaknipitsari, Wicharn Lewkeeratiyutkul
Classical Segal-Bargmann theory studies three Hilbert space unitary isomorphisms that describe the wave-particle duality and the configuration space-phase space. In this work, we g…
On the Calderon-Zygmund property of Riesz-transform type operators arising in nonlocal equations
Sasikarn Yeepo, Wicharn Lewkeeratiyutkul, Sujin Khomrutai +1
We show that the operator \[ T_{K,s_1,s_2}f(z) := \int_{\mathbb{R}^n} A_{K,s_1,s_2}(z_1,z_2) f(z_2)\, dz_2 \] is a Calderon-Zygmund operator. Here for $K \in L^\infty(\mathbb{R}^n…
On Strict Higher C*-categories
Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul +1
We provide definitions for strict involutive higher categories (a vertical categorification of dagger categories), strict higher C*-categories and higher Fell bundles (over arbitra…
The primitive ideal space of the partial-isometric crossed product of a system by a single automorphism
Wicharn Lewkeeratiyutkul, Saeid Zahmatkesh
Let be a system consisting of a -algebra and an automorphism of . We describe the primitive ideal space of the partial-isometric crossed product $A\times_α^…
The Normed Ordered Cone of Operator Connections
Pattrawut Chansangiam, Wicharn Lewkeeratiyutkul
A connection in Kubo-Ando sense is a binary operation for positive operators on a Hilbert space satisfying the monotonicity, the transformer inequality and the continuity from abov…