Fetching the paper…

Reading the bibliography…

2011

Estimates of operator moduli of continuity

Aleksandrov, Aleksei, Peller, Vladimir

Original
PDF
Post on X

Understand

In \cite{AP2} we obtained general estimates of the operator moduli of continuity of functions on the real line.

In this paper we improve the estimates obtained in \cite{AP2} for certain special classes of functions.
In particular, we improve estimates of Kato \cite{Ka} and show that $$ \big\|\,|S|-|T|\,\big\|\le C\|S-T\|\log(2+\log\frac{\|S\|+\|T\|}{\|S-T\|}) $$ for every bounded operators $S$ and $T$ on Hilbert space.
Here $|S|\df(S^*S)^{1/2}$.

Estimates of operator moduli of continuity · Around

Built on

G. Pólya
Original
1949
Earlier work this paper cites.
G.H. Hardy
1956
Earlier work this paper cites.
I. C. Gohberg
1963
Earlier work this paper cites.
M.S. Birman
1967
Earlier work this paper cites.
M.S. Birman
1968
Earlier work this paper cites.
Yu.B. Farforovskaya
1968
Earlier work this paper cites.
I.C. Gohberg, M.G. Krein
1970
Earlier work this paper cites.
A. McIntosh
1971
Earlier work this paper cites.
M.S. Birman
1973
Earlier work this paper cites.
John J. F. Fournier
1974
Earlier work this paper cites.
B.E. Johnson
1975
Earlier work this paper cites.

Similar

J. Peetre
1976
Cited alongside, same era.
G.B. Garnett
1981
Cited alongside, same era.
V.V.Peller
1982
Cited alongside, same era.
Yu.B. Farforovskaya
1985
Cited alongside, same era.
V.V. Peller
1985
Cited alongside, same era.
E. B. Davies
1988
Cited alongside, same era.
V.V. Peller
1990
Cited alongside, same era.
V.V. Peller
1993
Cited alongside, same era.

Then

G. Pisier
2001
Later among the works it cites.
M.S. Birman
2003
Later among the works it cites.
V.V. Peller
2003
Later among the works it cites.
E. Kissin
2005
Later among the works it cites.
E. Kissin, V.S. Shulman
2006
Later among the works it cites.
A.B. Aleksandrov
2009
Later among the works it cites.
F. Nazarov
2009
Later among the works it cites.
A.B. Aleksandrov
2010
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Yu.B. Farforovskaya

1996

Cited alongside, same era.

B. Ya. Levin

1996

Cited alongside, same era.

A.B. Aleksandrov

2010

Later among the works it cites.

L. Nikolskaya

2010

Later among the works it cites.