TY  - JOUR
AU  - Tarcsay, Zsigmond
TI  - LEBESGUE DECOMPOSITION FOR REPRESENTABLE FUNCTIONALS ON *-ALGEBRAS
JF  - GLASGOW MATHEMATICAL JOURNAL
J2  - GLASGOW MATH J
VL  - 58
PY  - 2016
IS  - 2
SP  - 491
EP  - 501
PG  - 11
SN  - 0017-0895
DO  - 10.1017/S0017089515000300
UR  - https://m2.mtmt.hu/api/publication/3056013
ID  - 3056013
N1  - Cited By :6            
            Export Date: 4 July 2022            
            Correspondence Address: Tarcsay, Z.; Department of Applied Analysis, Pazmany Peter setany 1/c, Hungary; email: tarcsay@cs.elte.hu
AB  - 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 by Zs. Szűcs due to a general Lebesgue decomposition theorem of S. Hassi, H.S.V. de Snoo, and Z. Sebestyén concerning non-negative Hermitian forms. In this paper, we provide a self-contained proof of Szűcs' result and in addition we prove that the corresponding absolutely continuous parts are absolutely continuous with respect to each other. Copyright © Glasgow Mathematical Journal Trust 2015
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Tarcsay, Zsigmond
TI  - On the parallel sum of positive operators, forms, and functionals
JF  - ACTA MATHEMATICA HUNGARICA
J2  - ACTA MATH HUNG
VL  - 147
PY  - 2015
IS  - 2
SP  - 408
EP  - 426
PG  - 19
SN  - 0236-5294
DO  - 10.1007/s10474-015-0533-6
UR  - https://m2.mtmt.hu/api/publication/2937121
ID  - 2937121
N1  - Cited By :7            
            Export Date: 9 June 2022            
            Correspondence Address: Tarcsay, Z.; Department of Applied Analysis, Eötvös L. University, Pázmány Péter sétány 1/c., Hungary
AB  - The parallel sum (Formula presented.) of two bounded positive linear operators A, B on a Hilbert space H is defined to be the positive operator having the quadratic form(Formula presented.)for fixed (Formula presented.). The purpose of this paper is to provide a factorization of the parallel sum of the form (Formula presented.) where (Formula presented.) is the embedding operator of an auxiliary Hilbert space associated with A and B, and P is an orthogonal projection onto a certain linear subspace of that Hilbert space. We give similar factorizations of the parallel sum of nonnegative Hermitian forms, positive operators of a complex Banach space E into its topological anti-dual (Formula presented.), and of representable positive functionals on a (Formula presented.)-algebra. © 2015 Akadémiai Kiadó, Budapest, Hungary
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Sebestyén, Zoltán
AU  - Tarcsay, Zsigmond
AU  - Titkos, Tamás
TI  - Lebesgue decomposition theorems
JF  - ACTA SCIENTIARUM MATHEMATICARUM (SZEGED)
J2  - ACTA SCI MATH (SZEGED)
VL  - 79
PY  - 2013
IS  - 1-2
SP  - 219
EP  - 233
PG  - 15
SN  - 0001-6969
UR  - https://m2.mtmt.hu/api/publication/2532851
ID  - 2532851
N1  - Cited By :9            
            Export Date: 2 January 2019            
            Correspondence Address: Department of Applied Analysis, Eötvös L. University, Pazmany Peter setany 1/c, Budapest H-1117, Hungary
Cited By :11            
            Export Date: 5 September 2019            
            Correspondence Address: Department of Applied Analysis, Eötvös L. University, Pazmany Peter setany 1/c, Budapest H-1117, Hungary
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hassi, S
AU  - Sebestyén, Zoltán
AU  - de Snoo, H
TI  - Lebesgue type decompositions for nonnegative forms
JF  - JOURNAL OF FUNCTIONAL ANALYSIS
J2  - J FUNCT ANAL
VL  - 257
PY  - 2009
IS  - 12
SP  - 3858
EP  - 3894
PG  - 37
SN  - 0022-1236
DO  - 10.1016/j.jfa.2009.09.014
UR  - https://m2.mtmt.hu/api/publication/2406323
ID  - 2406323
N1  - Cited By :42            
            Export Date: 9 June 2022            
            CODEN: JFUAA            
            Correspondence Address: Hassi, S.; Department of Mathematics and Statistics, PO Box 700, 65101 Vaasa, Finland; email: sha@uwasa.fi
LA  - English
DB  - MTMT
ER  -