Asymptotics of resolvent iterates for abstract potentials

Shmuel Kantorovitz

doi:10.1007/s00233-003-0022-z

Asymptotics of resolvent iterates for abstract potentials

Shmuel Kantorovitz

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let A be an abstract potential, that is, an operator whose resolvent R(·) exists and satisfies the condition ∥(ℛλ - a)R(λ)∥ ≤ M in a halfplane Π_a: = {λ ∈ ℂ; ℛλ > a}. It is shown that the resolvent iterates satisfy in Π_a the estimates ∥[(ℛλ - a)R(λ)] ⁿ∥ < Men for all n ∈ ℕ.

Original language	English
Pages (from-to)	491-494
Number of pages	4
Journal	Semigroup Forum
Volume	68
Issue number	3
DOIs	https://doi.org/10.1007/s00233-003-0022-z
State	Published - May 2004

Access to Document

10.1007/s00233-003-0022-z

Cite this

@article{b988907897d64806853cd820f70a93e4,

title = "Asymptotics of resolvent iterates for abstract potentials",

abstract = "Let A be an abstract potential, that is, an operator whose resolvent R(·) exists and satisfies the condition ∥(ℛλ - a)R(λ)∥ ≤ M in a halfplane Πa: = \{λ ∈ ℂ; ℛλ > a\}. It is shown that the resolvent iterates satisfy in Πa the estimates ∥[(ℛλ - a)R(λ)] n∥ < Men for all n ∈ ℕ.",

author = "Shmuel Kantorovitz",

year = "2004",

month = may,

doi = "10.1007/s00233-003-0022-z",

language = "אנגלית",

volume = "68",

pages = "491--494",

journal = "Semigroup Forum",

issn = "0037-1912",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Asymptotics of resolvent iterates for abstract potentials

AU - Kantorovitz, Shmuel

PY - 2004/5

Y1 - 2004/5

N2 - Let A be an abstract potential, that is, an operator whose resolvent R(·) exists and satisfies the condition ∥(ℛλ - a)R(λ)∥ ≤ M in a halfplane Πa: = {λ ∈ ℂ; ℛλ > a}. It is shown that the resolvent iterates satisfy in Πa the estimates ∥[(ℛλ - a)R(λ)] n∥ < Men for all n ∈ ℕ.

AB - Let A be an abstract potential, that is, an operator whose resolvent R(·) exists and satisfies the condition ∥(ℛλ - a)R(λ)∥ ≤ M in a halfplane Πa: = {λ ∈ ℂ; ℛλ > a}. It is shown that the resolvent iterates satisfy in Πa the estimates ∥[(ℛλ - a)R(λ)] n∥ < Men for all n ∈ ℕ.

UR - https://www.scopus.com/pages/publications/2942529270

U2 - 10.1007/s00233-003-0022-z

DO - 10.1007/s00233-003-0022-z

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

SN - 0037-1912

VL - 68

SP - 491

EP - 494

JO - Semigroup Forum

JF - Semigroup Forum

IS - 3

ER -

Asymptotics of resolvent iterates for abstract potentials

Abstract

Access to Document

Other files and links

Fingerprint

Cite this