# A general differentiation theorem for superadditive processes

Colloquium Mathematicae (2000)

- Volume: 83, Issue: 1, page 125-136
- ISSN: 0010-1354

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topSato, Ryotaro. "A general differentiation theorem for superadditive processes." Colloquium Mathematicae 83.1 (2000): 125-136. <http://eudml.org/doc/210767>.

@article{Sato2000,

abstract = {Let L be a Banach lattice of real-valued measurable functions on a σ-finite measure space and T=$T_t$: t < 0 be a strongly continuous semigroup of positive linear operators on the Banach lattice L. Under some suitable norm conditions on L we prove a general differentiation theorem for superadditive processes in L with respect to the semigroup T.},

author = {Sato, Ryotaro},

journal = {Colloquium Mathematicae},

keywords = {differentiation theorem; superadditive process; absolutely continuous norm; local ergodic theorem; semigroup of positive linear operators; Banach lattice of functions; strongly continuous semigroup; positive linear operators; Doob limit},

language = {eng},

number = {1},

pages = {125-136},

title = {A general differentiation theorem for superadditive processes},

url = {http://eudml.org/doc/210767},

volume = {83},

year = {2000},

}

TY - JOUR

AU - Sato, Ryotaro

TI - A general differentiation theorem for superadditive processes

JO - Colloquium Mathematicae

PY - 2000

VL - 83

IS - 1

SP - 125

EP - 136

AB - Let L be a Banach lattice of real-valued measurable functions on a σ-finite measure space and T=$T_t$: t < 0 be a strongly continuous semigroup of positive linear operators on the Banach lattice L. Under some suitable norm conditions on L we prove a general differentiation theorem for superadditive processes in L with respect to the semigroup T.

LA - eng

KW - differentiation theorem; superadditive process; absolutely continuous norm; local ergodic theorem; semigroup of positive linear operators; Banach lattice of functions; strongly continuous semigroup; positive linear operators; Doob limit

UR - http://eudml.org/doc/210767

ER -

## References

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