On linear, additive, and homogeneous operators in idempotent analysis

Nonlinear and semilinear spectrum for asymptotically linear or positively homogeneous operators

Nonlinear Analysis ◽

10.1016/j.na.2004.03.007 ◽

2004 ◽

Vol 57 (7-8) ◽

pp. 891-903 ◽

Cited By ~ 1

Author(s):

Wenying Feng

Keyword(s):

Asymptotically Linear ◽

Homogeneous Operators

WITHDRAWN: A fixed point theorem on Hilbert spaces for potential α-positively homogeneous operators via weak Ekeland variational principle

Arab Journal of Mathematical Sciences ◽

10.1016/j.ajmsc.2016.05.001 ◽

2016 ◽

Author(s):

M. Briki ◽

T. Moussaoui

Keyword(s):

Fixed Point ◽

Variational Principle ◽

Fixed Point Theorem ◽

Point Theorem ◽

Hilbert Spaces ◽

Ekeland Variational Principle ◽

Homogeneous Operators

Relative Stability for Ascending and Positively Homogeneous Operators on Banach Spaces

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1994.1420 ◽

1994 ◽

Vol 188 (1) ◽

pp. 182-202 ◽

Cited By ~ 9

Author(s):

U. Krause

Keyword(s):

Banach Spaces ◽

Relative Stability ◽

Homogeneous Operators

Axiomatics of thermodynamics and idempotent analysis

Idempotency ◽

10.1017/cbo9780511662508.025 ◽

1998 ◽

pp. 416-419 ◽

Cited By ~ 1

Author(s):

Victor P. Maslov

Keyword(s):

Idempotent Analysis

Spectral idempotent analysis and estimates of the Bellman function

System Modelling and Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0035493 ◽

1994 ◽

pp. 447-455

Author(s):

Sergei N. Samborski

Keyword(s):

Bellman Function ◽

Idempotent Analysis

First Order Operators on Manifolds With a Group Action

Canadian Journal of Mathematics ◽

10.4153/cjm-1996-039-6 ◽

1996 ◽

Vol 48 (4) ◽

pp. 758-776 ◽

Cited By ~ 1

Author(s):

H. D. Fegan ◽

B. Steer

Keyword(s):

Differential Operator ◽

Group Action ◽

Lie Group ◽

Differential Operators ◽

Order Differential Operator ◽

Compact Lie Group ◽

First Order ◽

Rank 2 ◽

Homogeneous Operators

AbstractWe investigate questions of spectral symmetry for certain first order differential operators acting on sections of bundles over manifolds which have a group action. We show that if the manifold is in fact a group we have simple spectral symmetry for all homogeneous operators. Furthermore if the manifold is not necessarily a group but has a compact Lie group of rank 2 or greater acting on it by isometries with discrete isotropy groups, and let D be a split invariant elliptic first order differential operator, then D has equivariant spectral symmetry.

Idempotent Analysis

10.1090/advsov/013 ◽

1992 ◽

Cited By ~ 51

Keyword(s):

Idempotent Analysis

Homogeneous operators and systems of imprimitivity

Contemporary Mathematics - Multivariable Operator Theory ◽

10.1090/conm/185/02148 ◽

1995 ◽

pp. 67-76 ◽

Cited By ~ 8

Author(s):

Bhaskar Bagchi ◽

Gadadhar Misra

Keyword(s):

Homogeneous Operators

Homogeneous operators on Hilbert spaces of holomorphic functions

Journal of Functional Analysis ◽

10.1016/j.jfa.2007.12.014 ◽

2008 ◽

Vol 254 (9) ◽

pp. 2419-2436 ◽

Cited By ~ 8

Author(s):

Adam Korányi ◽

Gadadhar Misra

Keyword(s):

Hilbert Spaces ◽

Holomorphic Functions ◽

Spaces Of Holomorphic Functions ◽

Homogeneous Operators

Idempotent Analysis and Its Applications

10.1007/978-94-015-8901-7 ◽

1997 ◽

Cited By ~ 145

Author(s):

Vassili N. Kolokoltsov ◽

Victor P. Maslov

Keyword(s):

Idempotent Analysis