Hahn-Jordan decomposition for smooth measures

E. T. Shavgulidze

doi:10.1007/bf01141629

Finite-time stability for switched linear systems by Jordan decomposition

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125853 ◽

2021 ◽

Vol 395 ◽

pp. 125853

Author(s):

Gökhan Göksu ◽

Ulviye Başer

Keyword(s):

Linear Systems ◽

Finite Time ◽

Jordan Decomposition ◽

Time Stability ◽

Switched Linear Systems ◽

Finite Time Stability

Note on the functional analogue of the Jordan decomposition of measures

Archiv der Mathematik ◽

10.1007/bf01899581 ◽

1966 ◽

Vol 17 (3) ◽

pp. 253-256 ◽

Cited By ~ 4

Author(s):

Fredos Papangelou

Keyword(s):

Jordan Decomposition

Feynman-Kac semigroups in terms of signed smooth measures

International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique - Random Partial Differential Equations ◽

10.1007/978-3-0348-6413-8_1 ◽

1991 ◽

pp. 1-31 ◽

Cited By ~ 13

Author(s):

Sergio Albeverio ◽

Philippe Blanchard ◽

ZhiMing Ma

Keyword(s):

Smooth Measures

On the extension of cylinder measures to $\tau $-smooth measures in linear spaces

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1976-0422562-7 ◽

1976 ◽

Vol 61 (1) ◽

pp. 59-59

Author(s):

Dirk Heidemann

Keyword(s):

Linear Spaces ◽

Smooth Measures

Jordan decomposition filters

Proceedings of ISCAS'95 - International Symposium on Circuits and Systems ◽

10.1109/iscas.1995.523788 ◽

2002 ◽

Cited By ~ 1

Author(s):

D. Coltuc ◽

I. Pitas

Keyword(s):

Jordan Decomposition

The Jordan Decomposition and Splittable Linear Groups

Infinite Linear Groups ◽

10.1007/978-3-642-87081-1_7 ◽

1973 ◽

pp. 90-100

Author(s):

Bertram A. F. Wehrfritz

Keyword(s):

Linear Groups ◽

Jordan Decomposition

Multiplicative Jordan Decomposition in Group Rings of 3-Groups, II

Communications in Algebra ◽

10.1080/00927872.2013.766828 ◽

2014 ◽

Vol 42 (6) ◽

pp. 2633-2639 ◽

Cited By ~ 1

Author(s):

Chia-Hsin Liu ◽

D. S. Passman

Keyword(s):

Group Rings ◽

Jordan Decomposition

A Simple Proof of the Jordan Decomposition Theorem for Matrices

American Mathematical Monthly ◽

10.1080/00029890.1996.12004715 ◽

1996 ◽

Vol 103 (2) ◽

pp. 157-159

Author(s):

Israel Gohberg ◽

Seymour Goldberg

Keyword(s):

Simple Proof ◽

Decomposition Theorem ◽

Jordan Decomposition

Orthomorphisms of archimedean vector lattices

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s030500410005800x ◽

1981 ◽

Vol 89 (1) ◽

pp. 119-128 ◽

Cited By ~ 17

Author(s):

S. J. Bernau

Keyword(s):

Linear Operator ◽

Vector Lattice ◽

Jordan Decomposition ◽

Duality Results ◽

Vector Lattices ◽

Elementary Methods ◽

Disjointness Preserving ◽

Order Boundedness

AbstractA linear operator T on a vector lattice L preserves disjointness if Tx ⊥ y whenever x ⊥ y. If such a T is positive it is automatically order bounded. An ortho-morphism is an order bounded disjointness preserving linear operator on L. In this note we show that the theory of orthomorphisms on archimedean vector lattices admits a totally elementary exposition. Elementary methods are also effective in duality considerations when the order dual separates points of L. For the Jordan decomposition T = T+ − T− with T+x = (Tx+)+ − (Tx−)+ we can dtrop the order boundedness assumption if we assume either that T preserves ideals or that L is normed and T is continuous. Alternatively we may keep order boundedness and assume only |Tx| ⊥ |Ty| whenever x ⊥ y. The main duality results show: T preserves ideals if and only if T** does; T is an orthomorphism if and only if T* is; T is central (|T| is bounded by a multiple of the identity) if and only if T* is central if and only if T and T* preserve ideals.

Group rings and Jordan decomposition

Groups, Rings, Group Rings, and Hopf Algebras - Contemporary Mathematics ◽

10.1090/conm/688/13829 ◽

2017 ◽

pp. 103-111 ◽

Cited By ~ 1

Author(s):

Alfred Hales ◽

Inder Passi

Keyword(s):

Group Rings ◽

Jordan Decomposition