Lebesgue decomposition for representable functionals on*-algebras

Z Tarcsay - Glasgow Mathematical Journal, 2016 - cambridge.org
We offer a Lebesgue-type decomposition of a representable functional on a*-algebra into
absolutely continuous and singular parts with respect to another. Such a result was proved …

A simple proof of the Lebesgue decomposition theorem

T Titkos - The American Mathematical Monthly, 2015 - Taylor & Francis
A Simple Proof of the Lebesgue Decomposition Theorem Page 1 A Simple Proof of the
Lebesgue Decomposition Theorem Tamás Titkos Abstract. Motivated by the notion of …

On means of nonnegative sesquilinear forms

T Titkos - Acta Mathematica Hungarica, 2014 - Springer
The aim of this paper is to generalize the theory of operator connections for nonnegative
sesquilinear forms. As an application, we investigate the case of bounded finitely additive …

A short-type decomposition of forms

Z Sebestyén, Z Tarcsay, T Titkos - arXiv preprint arXiv:1406.6635, 2014 - arxiv.org
The main purpose of this paper is to present a decomposition theorem for nonnegative
sesquilinear forms. The key notion is the short of a form to a linear subspace. This is a …

The Singular Part as Fixed Point

T Titkos - The American Mathematical Monthly, 2018 - Taylor & Francis
Full article: The Singular Part as Fixed Point Skip to Main Content Taylor and Francis Online
homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

[PDF][PDF] Decomposition theory of forms

T Titkos - 2017 - core.ac.uk
Our aim in the present dissertation is to continue the investigations begun by Seppo Hassi,
Zoltán Sebestyén, and Henk de Snoo in their fundamental work [16]. Namely, we study the …

[PDF][PDF] A SHORT–TYPE DECOMPOSITION OF FORMS

ZAN SEBESTY, Z TARCSAY, T TITKOS - files.ele-math.com
The main purpose of this paper is to present a decomposition theorem for nonnegative
sesquilinear forms. The key notion is the short of a form to a linear subspace. This is a …

Lebesgue decomposition via Riesz orthogonal decomposition

Z Tarcsay - arXiv preprint arXiv:1403.5489, 2014 - arxiv.org
arXiv:1403.5489v1 [math.FA] 21 Mar 2014 Page 1 arXiv:1403.5489v1 [math.FA] 21 Mar 2014
LEBESGUE DECOMPOSITION VIA RIESZ ORTHOGONAL DECOMPOSITION ZSIGMOND …